Quadratic Functions: Vertex Form

Quadratic Function:Vertex Form

Drag and Drop

f(x) = ​ ​

Placeholder

(x - ​

Placeholder

)² + ​

Placeholder

Drag these tiles and drop them in the correct blank above

a

h

k

b

x

y

Match

Match the changes in the function with the correct letter

• a

• h

• k

slope/width

left/right

up/down

• slope/width

• left/right

• up/down

Match

Match each quadratic equation to its vertex.

• f(x) = (x - 3)² + 5

• g(x) = (x + 3)² + 5

• h(x) = (x - 3)² - 5

• j(x) = (x + 3)² - 5

(3, 5)

(-3, 5)

(3, -5)

(-3, -5)

• (3, 5)

• (-3, 5)

• (3, -5)

• (-3, -5)

Math Response

Write the equation for the range of the function.

(Use inequality form)

$$f\left(x\right)=2\left(x-1\right)^2+4$$

Type answer here

Correct Answer: y\ge4

Deg^°

Rad

Math Response

Write the equation for the axis of symmetry of the function.

$$f\left(x\right)=2\left(x-1\right)^2+4$$

Type answer here

Correct Answer: x=1

Deg^°

Rad

Graphing

Create the graph of $$f\left(x\right)=\left(x-2\right)^2+5$$

Multiple Choice

Select the correct equation of the parabola.

• $$y=-2\left(x-1\right)^2+3$$

• $$y=2\left(x-1\right)^2+3$$

• $$y=2\left(x+1\right)^2+3$$

• $$y=-2\left(x+1\right)^2+3$$

Multiple Choice

Select the correct equation of the parabola.

• $$y=\frac{1}{3}\left(x-2\right)^2-1$$

• $$y=\frac{1}{3}\left(x+2\right)^2-1$$

• $$y=-\frac{1}{3}\left(x+2\right)^2-1$$

• $$y=-\frac{1}{3}\left(x-2\right)^2-1$$