QC: LT 3.5 quadratic transformations

Which is the parent function of a parabola?

• y = x²
• y = 2x² + 3
• y = -x² -4
• y = -x²

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

• Reflect, compress by 1/2, left 9, down 1
• Compress by 1/2, left 9, down 1
• Compress by 1/2, right 9, down 1
• Stretch by 1/2, left 9, down 1

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Stretch by 5
• Compress by 5
• Reflect
• Move up 5

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

If the blue graph is
f(x) = x² 
then the red must be...

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How does the value for "h" transform a graph?

• Horizontal Shift (left/right) 
• Vertical Shift (up/down)
• Vertical Stretch
• Vertical Compression

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

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4