Ch. 26 Quizizz Quadratic Transformations

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

Tags

CCSS.HSG.CO.A.2

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

• Reflect, horizontal compress by 1/2, horizontal translation left 9, and vertical translation down 1

• Vertical compress by 1/2, horizontal translation left 9, and vertical translation down 1

• Horizontal Compress by 1/2, horizontal translation right 9, and vertical translation down 1

• Vertical Stretch by 1/2, horizontal translation left 9, and vertical translation down 1

• reflection over y axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical compression by a factor of 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

• Reflect, horizontal compress by 1/2, horizontal translation left 9, and vertical translation down 1

• Vertical compress by 1/2, horizontal translation left 9, and vertical translation down 1

• Horizontal Compress by 1/2, horizontal translation right 9, and vertical translation down 1

• Vertical Stretch by 1/2, horizontal translation left 9, and vertical translation down 1

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Which of the following shows a vertical compression of the parent function f(x)=x²?

• y = 2x²

• y = 3/5x²

• y = -4x²

• y = -x²

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