Quiz about Identifying Transformations in Vertex Form

Question 1

What is the vertex of the parabola: y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 2

Which equation below represents a parabola that opens upward with a vertex at (0, -5)?

Accepted Answer

y = (x + 5)²

Answer

y = x² + 5

Answer

y = x² - 5

Answer

y = (x - 5)²

Question 3

What is the vertex for the parabola represented by the equation
y = 2(x + 3)² - 8?

Accepted Answer

(-3, -8)

Answer

(3, 8)

Answer

(3, -8)

Answer

(-3, 8)

Question 4

What causes the graph of y = x² to open downward?

Accepted Answer

multiply the x² by a negative number

Answer

multiply the x² by a fraction

Answer

multiply the x² by a decimal

Answer

multiply the x² by a number greater than 1

Question 5

What is the vertex of the equation
y= (x-12)²+7 ?

Accepted Answer

(12, 7)

Answer

(1,7)

Answer

(-12, 7)

Answer

(7,12)

Question 6

The parabola
f(x)=(x+3)²+2
has a vertex of (-3, 2) and a y-intercept (0,11).

Accepted Answer

True

Answer

False

Question 7

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 8

Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?

Accepted Answer

Maximum

Answer

Minimum

Answer

It has neither.

Answer

It has both.

Question 9

Given: y = 2(x - 5) + 6, the vertex is

Accepted Answer

(5,6)

Answer

(2,-5)

Answer

(-5,6)

Answer

(2,6)

Question 10

Given: 1/2(x + 4) - 5, the equation of the axis of symmetry is

Accepted Answer

x = -4

Answer

y = 4

Answer

x = 4

Answer

x = -5

Question 11

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 12

How does the value for "h" transform a graph?

Accepted Answer

Horizontal Shift

Answer

Vertical Shift

Answer

Vertical Stretch

Answer

Vertical Compression

Question 13

When x² is changed to x² -3, the graph

Accepted Answer

Shifts down 3 units.

Answer

Shifts left 3 units.

Answer

Shifts right 3 units

Answer

shifts up 3 units.

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

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

Accepted Answer

f(x) = -2(x + 5)² - 3

Answer

f(x) = -2(x - 5)² - 3

Answer

f(x) = -(x + 5)² - 3

Answer

f(x) = -(x - 5)² - 3

Question 17

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(-5, 2); opens up

Answer

(5, 2); opens up

Answer

(5, 2); opens down

Answer

(-5, 2); opens down

Question 18

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(1, 4); opens down

Answer

(-1, 4); opens up

Answer

(-1, 4); opens down

Answer

(1, 4); opens up

Question 19

What is the axis of symmetry of the given function?

Accepted Answer

x = 1

Answer

y = 1

Answer

y = -1

Answer

x = -1

Question 20

What is the vertex form for a vertex of (1, 5) and when a=3?

Accepted Answer

f(x) = 3(x-1)²+5

Answer

f(x) = 1(x-3)²+5

Answer

f(x) = 3(x-5)²+1

Answer

f(x) = 3(x+1)²+5

Question 21

What is the vertex form for a vertex of (-3,-5) and when a=-2?

Accepted Answer

y = -2(x+3)²-5

Answer

y = -2(x-3)²+5

Answer

y = -2(x+3)²+5

Question 22

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

Accepted Answer

(3,8)

Answer

(-3,-8)

Answer

(-3,8)

Answer

(3,-8)

Question 23

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

Question 24

What is the vertex of the equation
y= (x-12)²+7 ?

Accepted Answer

(12, 7)

Answer

(1,7)

Answer

(-12, 7)

Answer

(7,12)

Question 25

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 26

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(-5, 2); opens up

Answer

(5, 2); opens up

Answer

(5, 2); opens down

Answer

(-5, 2); opens down

Identifying Transformations in Vertex Form

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