Free Printable Convert to Vertex Form

Worksheets

Convert to Vertex Form

Total questions: 13

Worksheet time: 3hrs 15mins

Name

Class

Date

What is the vertex of the following equation:

y=-3(x+2)² - 4?

(-2,-4)

(2,-4)

(3,-4)

(2,4)

What is the axis of symmetry of the following equation:
y=-3(x-2)² - 4?

x=-2

x=2

x=4

x=-4

Select the transformations for the equation: y=(x-2)²+4

(Choose ALL that apply)

Shift right 2

Shift left 2

Shift up 4

Shift down 4

Reflection over x-axis

Match the equation, $y=2\left(x\right)^2-4$ to its description.

Vertical Stretched by 2 and shift down 4

Vertical Compressed by 2 and shift up 4

Vertical Stretched by 2, shift left 4 and reflection over x-axis

Vertical Compressed by 1/2 and shift right 4

For the equation, $y=-\frac{1}{2}\left(x\right)^2-1$ , describe the transformations.
(Choose ALL that apply)

Up 1

Vertical compression by 1/2

Vertical Stretch by 1/2

Down 1

reflection over x-axis

Which quadratic function is represented by the graph?

y = 2(x - 4)² + 5

y = 2(x + 4)² + 5

y = -2(x - 4)² + 5

y = -2(x + 4)² + 5

Joanne threw a football while standing on her front porch. The height of the ball, h, in metres, can be modelled by
$h=-2\left(t-1.5\right)^2+8$ where t is the time, in seconds, from when she threw the ball. How long was the ball in the air?

3 seconds

3.5 seconds

4 seconds

-0.5 seconds

Write y = x² + 4x - 1 in vertex form.

y = (x - 2)² + 5

y = (x + 2)² - 5

y = (x + 2)² - 1

y = (x +2)² + 3

Write y = x² - 18x + 52 in vertex form.

y = (x - 9)² + 113

y = (x + 9)² - 29

y = (x - 9)² + 52

y = (x - 9)² - 29

10.

The axis of symmetry line passes through which point?

y-intercept

any random point

vertex

symmetrical point for the vertex

11.

Write an equation in vertex form

12.

Write an equation in Standard Form

13.

Graph the equation

100 %

Convert to Vertex Form

Total questions: 13

Worksheet time: 3hrs 15mins

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