Stretch Compress Quadratics

What is the vertex?

• (0, - 1)

• (0, 0.5)

• (-1, 0)

• (0.5, 0)

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

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

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

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

What transformation occurs with y = 2x²?

• Compression

• Stretch

• Reflection

• Stretch and Reflection

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

Given f(x) = ax² , if a > 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

Tags

CCSS.HSF-IF.C.7A

• vertical compression

• vertical stretch

• translated up

• translated down