What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?
Answers
Answer:
B
Step-by-step explanation:
The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)
Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,
f(x) vertically streched by a factor of2 first, Therefore,
g(x) = 2f(x)
= 2x²
Now, the function g(x) is moved up by 15 units, therefore,
h(x) = g(x) + 15
= 2x² + 15
Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
Learn more about Transforming functions:
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Related Questions
Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.
Answers
Given:
Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.
Then dilated with a factor of 1/3 to form triangle A"B"C".
To find:
The correct statement for triangles ABC and A"B"C".
Solution:
We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.
So, figures are always congruent to their images after reflection.
[tex]\Delta ABC\cong Delta A'B'C'[/tex] ...(i)
Dilation is not a rigid transformation. Here, shape remains same nut the size is different.
So, figures are always similar to their images after dilation.
[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex] ...(ii)
Using (i) and (ii), we get
[tex]\Delta ABC\sim \Delta A"B"C"[/tex]
ΔABC and ΔAB"C" are similar triangles.
Therefore, the correct option is A.
Solve for x = X-16/x+6= 3/5
Answers
Answer:
-16/29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test
Name AT LEAST 3 other words that are a synonym for a ROOT of a polynimal
Answers
Answer:
Root of polynomial synonyms: zero, x-intercept
Step-by-step explanation:
Technically in calculus we also call roots critical points of f, but I'm not sure of the obvious 3rd word. Maybe horizontal intercept?
Write an equation of the line in slope intercept form (0,5)(3,4)
Answers
(4-5)/(3-0) = -1/3
Y = -1/3x + b
5 = -1/3(0) + b, b = 5
Equation: y = -1/3x + 5
The slope intercep equation of the following points (0,5) (3,4) will be y = (-1/3)x + 5.
What is the slope-intercept equation?
A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.
For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.
Another example is y = 3x + 7 here 3 will be the slope of that equation.
Slope m = difference in y coordinate/ difference in x coordinate.
Let's suppose our equation is y =mx + c
now m = (4 - 5)/(3 - 0)
m = -1/3 now for c put both point in the equation we get as 5.
So y = (-1/3)x + 5 will be correct slope intercept form.
For more information about slope intercept form
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pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?
Answers
Answer:
1.2 Liters
Step-by-step explanation:
There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2
What is 63 divided by 36?
Answers
Answer:
1.75
Step-by-step explanation:
used a calculator
Answer:
63÷36=1.75
Step-by-step explanation:
itz easy
mark me as a brainlist
6. What are the dimensions of this matrix?
Answers
Answer:
the dimensions will be 2 x 1
Option C is correct option.
Step-by-step explanation:
We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]
The dimensions consists of rows and columns in the form. Rows x Columns
In the given matrix the rows are: 2
The columns are: 1
So, the dimensions will be 2 x 1
Option C is correct option.
Express the percent as a decimal 6.4%
Answers
Answer:
0.064
Step-by-step explanation:
Hope this helps!
Set up an equation that relates the direct variation. D varies directly with t
Answers
Answer:
I really don’t understand the question.. sorry I couldn’t help...
Help me please I need help on this
Answers
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?
Answers
Answer:
The answer is $2,016
Step-by-step explanation:
Multiply 168 and 12 to get 2016
Have a great day :)
Johnny divided 3 1/2 x 4 what number did he get
Answers
Answer:
14
Step-by-step explanation:
3 1/2= 3.5
so...
3.5*4=14
Answer:
14
Step-by-step explanation:
7 / 2 × 4
7 × 2
14
hope it helps!
Which sets of angles sum to 180
Answers
Answer:
All of them
Step-by-step explanation:
perform each operation (3x-4)(x+4)
Answers
Answer:
x = 4
(don't really know what they mean by perform?)
Step-by-step explanation:
Find the distance across the bridge
Answers
2.a really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. what is the speed of the armadillo
Answers
Answer:
2 meters per second
Step-by-step explanation:
Hope this helped have an amazing day!
Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?
Answers
Answer: First you have to take 20% and make it into a fraction 1/5.
Then you multiply 46.5 and multiply it by 1/5 and get 9.3
Add $46.50 and $9.30 and get $55.80
Step-by-step explanation: Hope this helps!! <3
Which of the following is a linear function?
**easy** WILL MARK BRAINLIEST!!!!!!! HELP ASAP!!!!
[tex]a. \: \: \: y = {x}^{3} + 1 \\ b. \: \: \frac{5}{6} x = y - 4 \ \\ c. \: \: \: y = 8 {x}^{2} \\\ d. \: \: \: y = \frac{1}{5x} [/tex]
Answers
Answer:
b
Step-by-step explanation:
b is a linear function, because all you have to do is swap around the equation. It can't be the ones with exponents or the one that has x as a denominator
Answer:
A: y = x^3 + 1
Step-by-step explanation:
3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6
Answers
Answer the following question:
Answers
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
If a watch costs $ 40 and you must pay 6.5 % sales tax
Answers
Step-by-step explanation:
you will end up paying $66 dollars
24 = 3y Solve for y and show work
Answers
Answer:
y=8
Step-by-step explanation:
because 3×8 is 24
and 8 would be the missing number
please help me im very behind
Answers
Answer:
y=4/3x+4
Step-by-step explanation:
The change is Y is +4 and in X in +3, which is how we get the slope..4/3.
And the y-intercept would be 4, which is when x is at 0.
Hope this helps!
Answer:
y=4/3x+4
Step-by-step explanation:
What constant term should be added to both sides to complete the square on the left side?
x^2 - 3/4x + _____ = 10
Answers
Answer:
9/64Step-by-step explanation:
Given
x² - 3/4x + _____ = 10Need to complete square on the left side of equation
The square should be in the form of:
(a + b)² = a² + 2ab + b²We see a = x therefore
2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64So the missing constant term is 9/64
The inequality x S-8 would represent which of the following values?
Answers
The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.
How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.
Answers
Answer:240 visitors are at the zoo
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."
9am-10am is 6 visitors
10am-11am is 6*3=18 visitors
11am-12pm is 18*3=54 visitors
what is the answer to 2/5 times 1/4
Answers
2•1=2
5•4=20
Answer would be 2/20, but you can still simplify.
2/20 divided by 2= 1/10
The simplified fraction would be 1/10
PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles
Answers
Answer:
1)
8x + x = 180
9x = 180
x = 30
2)
x + 2 = 2x - 40
2 = x - 40
x = 42
3)
2x + x = 90
3x = 90
x = 30
4)
3x + 1 = 4x - 25
1 = x - 25
x = 26
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answers
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
Need help with this one will mark brainliest
Answers
Answer:
circle 3
Step-by-step explanation: