Quadratic Roots and Transformations

If the blue graph is
f(x) = x² 
then the red must be...

Mathematical Equivalence

ON

What are the green dots called? (Choose ALL that apply.)

• solutions

• axis of symmetry

• zeroes

• roots

• y-intercepts

Tags

CCSS.HSF-IF.C.7A

What are the transformations?y=(x-2)²+4 (Choose ALL that apply.)

• Horz shift right 2

• Horz shift left 2

• Vert shift up 4

• Vert shift down 4

How did we transform from the parent function? y = -1/5x² + 7 (Choose ALL that apply.)

• reflection over the x-axis

• vertical shift up 7

• vertical stretch of 1/5

• vertical shift down 7

• vertical compression of 1/5

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

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

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

• right 9

• Vertical compress by 1/2

• Horizontal Compress by 1/2

• left 9

• down 1

What is the vertex?

• (0, - 1)

• (0, 0.5)

• (-1, 0)

• (0.5, 0)

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

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

Tags

CCSS.HSF-IF.C.7A

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4