Functions (quadratic)

Describe the transformation.

g(x) = x² + 9

• up 9

• down 9

• left 9

• right 9

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

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

• Vertical stretch by a factor of 5

• Horizontal compression by a factor of 5

• Reflect over the y-axis

• Move up 5

Identify the transformation from the graph of f(x)=x² to the graph g(x)= (x+5)² 

• shifted up five units
• shifted down five units
• shifted left 5 units
• shifted right 5 units

List widest to narrowest

A) y = -2(x + 5)² - 8

B) y = 4(x + 5)² - 8

C) y = 1/2(x + 5)² - 8

D) y = 10(x + 5)² - 8

• D, B, C, A

• D, B, A, C

• A, C, B, D

• C, A, B, D

• A, B, C, D

If red represents y = x², which equation represents black?

• y = 7x²
• y = -7x²
• y = -(1/7)x²
• y = -5x²

Is the graph of the equation y=2x² wider, narrower or the same width as the standard parabola y = x²?

• wider

• narrower

• same

• impossible to tell

The graph of y = x² and second function y = 2x² + 1 are graphed.  Describe the transformations from the first graph to the second.

• The graph becomes narrower and is moved up one unit. 
• The graph becomes wider and is moved up one unit.
• The graph is shifted to the right 2 units and up 1 unit.
• The graph is shifted

Which description of the transformation of the graph of f(x) = x² to the graph of

g(x) = (3x)² + 2 is true?

• a vertical stretch by a factor of 3 with translation up two units

• a horizontal stretch by a factor of three with a translation right two units

• translation left 3 units with translation up two units

• a vertical stretch by a factor of 1/3 with translation two units up

• A reflection over the y-axis and gets narrower.

• A reflection over the y-axis and gets wider.

• A reflection over the x-axis and gets narrower.

• A reflection over the x-axis and gets wider.