Math 2 Quiz - Quadratic Tranformations

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

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 widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

• widen
• neither
• narrow

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

John drew the graph of y= 4(x + 3)² -1. How should he transform that graph to produce the graph of y= 4(x - 6)² + 5? Select all that apply.

• Reflection over the x-axis

• Left 9

• Right 9

• Down 6

• Up 6

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

• y = 2x²

• y = 3/5x²

• y = -4x²

• y = -x²

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

• y=x²+2

• y=2x²

• y = (x-2)²

• y = (x+2)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

The equation f(x) = -1/2x² + 5 is used to represent an arch for a new design on the bridge on Antoine Road. However, the engineer wants to increase the maximum of the arch to increase the structural rigidity. Which of the following would be a logical response?

• The new equation would change the value of 5 to the value of 7

• The new equation would change the value of 5 to the value of 3

• The new equation would change the value of -1/2 to 1/2

• The new equation would change the value of -1/2 to -2