9.3 Day 2 / Quiz Review Homework

The blue graph is y=x². Which equation matches the red graph?

• y = (x - 5)² + 2

• y = (x + 2)² + 5

• y = (x + 2)² - 5

• y = (x - 2)² + 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

How did we transform from the parent function?

y = -1/2(x - 1)² + 3

• reflection over x-axis, vertical compression, translate right 1, up 3

• vertical compression, translate left 1, up 3

• reflection over x-axis, vertical compression, translate right 1, down 3

• reflection over x-axis, vertical stretch, translate right 1, up 3

What transformations has the function undergone?

• reflect over x, vertical compression by 2, right 5, up 1

• reflect over x, vertical compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over x, vertical stretch by 2, left 5, up 1

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

Tags

CCSS.HSF.BF.B.3

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

• up
• down

Tags

CCSS.HSF-IF.C.7A

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

Tags

CCSS.HSF.BF.B.3

Which graph shows y=2(x-1)²+3

• 
• 
• 
• 

What is the range of this quadratic graph?

• y ≥ 3
• y ≤ 3
• ℝ
• y ≤ 2

Tags

CCSS.HSF-IF.C.7A