Quiz about Analyzing Quadratic

Question 1

Describe the transformation of y = (x - 4)²

Accepted Answer

Shift RIGHT

Answer

Shift UP

Answer

Shift DOWN

Answer

Shift LEFT

Question 2

Describe the transformation of y = x² + 4

Accepted Answer

Shift UP

Answer

Shift DOWN

Answer

Shift LEFT

Answer

Shift RIGHT

Question 3

Compare the function y = 0.3x² to the parent function y = x²

Accepted Answer

Wider

Answer

Narrower

Question 4

Compare the function y = 5x² to the parent function y = x²

Accepted Answer

Narrower

Answer

Wider

Question 5

How did we transform from the parent function?
y = x² + 2

Accepted Answer

vertical shift up

Answer

horizontal shift up

Answer

horizontal shift down

Answer

vertical shift down

Question 6

Match the equation to its description.

Accepted Answer

Reflected over x and stretched by 3

Answer

Stretched by 3

Answer

Reflected over x

Answer

Reflected over x and up 3

Question 7

Match the equation to its description.

Accepted Answer

Stretched by 4 and up 4

Answer

Compressed by 4 and up 4

Answer

Stretched by 4 and left 4

Answer

Compressed by 4 and left 4

Question 8

Match the equation to its description.

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 9

Match the equation to its description.

Accepted Answer

Reflected over x, right 2 and up 1

Answer

Reflected over x, left 2 and up 1

Answer

Reflected over x, right 2 and down 1

Answer

Reflected over x, left 2 and down 1

Question 10

If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 11

If the blue is f(x)=x^2,the red must be

Accepted Answer

g(x)=(x-3)²

Answer

g(x)=(x+3)²

Answer

g(x)=x2+3

Answer

g(x)=x2-2

Question 12

Describe the transformation of y = 3(x - 3)² + 3

Accepted Answer

Narrow, Right, Up

Answer

Narrow, Left, Down

Answer

Wide, Right, Up

Answer

Wide, Left, Down

Question 13

In the equation f(x)=5(x+3)²-10 what does the 5 do?

Accepted Answer

Vertical stretch by 5

Answer

Horizontal compress by 5

Answer

Reflect

Answer

Move up 5

Question 14

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 15

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = -3(x - 2)² - 4

Answer

f(x) = -(x + 2)² - 4

Answer

f(x) = -(x - 2)² - 4

Answer

f(x) = -3(x + 2)² - 4

Question 16

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 17

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 18

If red represents y = x², which equation represents black?

Accepted Answer

y = -7x2

Answer

y = 7x2

Answer

y = -(1/7)x²

Answer

y = -5x2

Question 19

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 20

Match the description to its equation.
Stretches by a factor of 3

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 21

How did we transform from the parent function?
y = -1/5(x - 1)² + 7

Accepted Answer

reflection, vertical compression, horizontal right, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 22

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

Accepted Answer

Vertical compress by 1/2, left 9, down 1

Answer

Reflect, horizontal compress by 1/2, left 9, down 1

Answer

Horizontal Compress by 1/2, right 9, down 1

Answer

Vertical Stretch by 1/2, left 9, down 1

Question 23

Match the equation to its description.

Accepted Answer

Reflected over x and down 4

Answer

Reflected over x and up 4

Answer

Reflected over x and right 4

Answer

Reflected over x and left 4

Question 24

What is the equation of the quadratic function obtained from vertically compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?

Accepted Answer

f(x)= -0.5x²

Answer

f(x)= 0.5x²

Answer

f(x)= -(x-0.5)²

Answer

f(x)= x²+0.5

Question 25

What would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x²+2?

Accepted Answer

g(x)=4x²+5

Answer

g(x)=x2+3

Answer

g(x)=7x²+2

Answer

g(x)=4x²+3

Question 26

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit from the function f(x)=x²+4?

Accepted Answer

g(x)=(x-1)²+4

Answer

g(x)=x2+5

Answer

g(x)=(x+1)²+4

Answer

g(x)=x2+3

Question 27

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 28

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Narrower

Answer

Reflection across the x-axis.

Question 29

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

Accepted Answer

(-6, 5)

Answer

(-2, 5)

Answer

(-4, 3)

Answer

(-4, 7)

Question 30

Write the equation of the quadratic function. (parabola)

Accepted Answer

y = ( x - 5 )²

Answer

y = x² - 5

Answer

y = x² + 5

Answer

y = ( x + 5 )²

Question 31

What is the axis of symmetry?

Accepted Answer

the dividing line for a parabola

Answer

the slope of the graph

Answer

a way to spin my pencil

Answer

the x-axis

Question 32

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 33

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 34

What is the vertex?

Accepted Answer

(4,-4)

Answer

(2,0)

Answer

(0,2)

Answer

(6,0)

Question 35

Find the zeros of the equation:
(x+10)(x-2) = 0

Accepted Answer

-10 and 2

Answer

10 and 2

Answer

-2 and 10

Answer

-2 and -10

Question 36

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 37

Find the axis of symmetry for
f(x) = x²- 8x + 15.

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 38

What's the axis of symmetry of y = 3x²- 6x + 4

Accepted Answer

x=1

Answer

x=-6

Answer

x=2

Answer

x=-1

Question 39

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 40

Given y=2(x+3)(x-7), find the vertex.

Accepted Answer

(2, -50)

Answer

(10, 50)

Answer

(-2, -18)

Answer

(4, -42)

Question 41

Find the vertex   y = (x - 5)(x - 1)

Accepted Answer

(3, -4)

Answer

(5, 1)

Answer

(-5, - 1)

Answer

(-3, 32)

Question 42

What is the x-coordinate of the vertex of the parabola?
y = (x - 8)(x + 2)

Accepted Answer

3

Answer

-3

Answer

8 and -2

Answer

-8 and 2

Question 43

What is the vertex of the function?

Accepted Answer

(-3, -16)

Answer

(3, 20)

Answer

(-6, -7)

Answer

(0, -7)

Question 44

Is this a max or min?

Accepted Answer

max

Answer

min

Question 45

What are the zeros?

Accepted Answer

No Real Solution

Answer

{2}

Answer

{2,-4}

Answer

{1,3}

Question 46

Which word is NOT a synonym for x-intercept?

Accepted Answer

y-intercept

Answer

zero

Answer

solution

Answer

root

Question 47

Does this parabola have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Question 48

Does the quadratic have a max/min vertex, and does the parabola open up/down?

Accepted Answer

max/ opens down

Answer

min/ opens up

Answer

max/ opens up

Answer

min/ opens down

Question 49

Does this parabola have a minimum or maximum and what is its value?

Accepted Answer

maximum: 5

Answer

minimum: 2

Answer

maximum: 2

Answer

minimum: 5

Question 50

What is the vertex of this quadratic equation?

y = 2(x - 2)² + 5

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(5,-2)

Answer

(-5,-2)

Question 51

Write down the following question since it will appear multiple times.

1) if f(x) = - (x-2)²- 3

1a) What is the vertex?

Accepted Answer

(2, -3)

Answer

(-2, 3)

Answer

(-2, -3)

Answer

(4, -3)

Question 52

Write down the following question since it will appear multiple times.

1) if f(x) = - (x-2)²- 3

1b) Does the graph have a maximum or minimum and what is its value?

Accepted Answer

Maximum at y = -3

Answer

Maximum at y = 2

Answer

Minimum at y = 2

Answer

Minimum at y = -3

Question 53

2) Write down the features of the above graph since it will appear multiple times.

2b) Does the graph above have a maximum or minimum? What is its value?

Accepted Answer

Minimum at y = -1

Answer

Minimum at x = -1

Answer

Maximum at y = 3

Answer

Maximum at x = 3

Question 54

Identify the transformations.

Accepted Answer

horizontal shift to the right 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the left 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the right 2 and vertical shrink by a factor of 3

Answer

horizontal shift to the left 2 and vertical shrink by a factor of 3

Question 55

Vertical compression is af(x) when a is...

Accepted Answer

a fraction/decimal and the graph flattens

Answer

a number greater than 1 and the graph becomes steeper

Answer

any type of number

Answer

any number less than 1

Analyzing Quadratic

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