Quadratic Transformations H and K

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

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

Tags

CCSS.HSF-IF.C.7A

Does the graph of this equation open up or down? 
y = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

What effects does "h" have on the parent function?

• Vertical stretch/compression

• Horizontal shifts (left/right)

• Vertical shifts (up/down)

Compared to the parent function, what effect does the 5 have in  f(x)=5(x+3)²-10 ?

• Narrower

• Reflect and narrower

• Reflect and wider

• Wider

In the equation y = (x-3)² + 4, what is the value of k?

• 3

• 4

• -3

• -4

Tags

CCSS.HSF-IF.C.7A

In the vertex form of a quadratic equation, if h = 0 and k = 0, where is the vertex located?

• (0, 0)

• (1, 1)

• (-1, -1)

• It cannot be determined

For the quadratic equation y = (x + 4)² - 2, what are the values of h and k ?

• h = 4, k = -2

• h = -4, k = 2

• h = -4, k = -2

• h = 4, k = 2

If a quadratic graph has its vertex at the point (-3, 7), what are the values of h and k in its vertex form equation?

• h = 3, k = 7

• h = -3, k = 7

• h = 7, k = -3

• h = -7, k = 3

What is the vertex of the quadratic equation y = (x - 8)² + 5?

• (8, 5)

• (-8, -5)

• (-8, 5)

• (8, -5)