Quadratic Transformations STAAR

Which of the following statements about the function j(x) = -2(x + 3)² + 9 is FALSE?

• The function j(x) is shifted up 9 units compared to the parent function

• The function j(x) is narrower than the parent function

• The function j(x) is shifted right 3 units compared to the parent function

• The function j(x) is reflected across the x-axis compared to the parent function

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

Which is the parent function of a parabola?

• y = x²

• y = 2x² + 3

• y = -x² -4

• y = -x²

Quadratic functions q and w are graphed on the same coordinate grid.  The vertex of the graph of q is 18 units below the vertex of the graph of w.  Which pair of functions could have been used to create the graphs of q and w?

• q(x) = 18x² and w(x) = x²

• q(x) = x² + 18 and w(x) = x²

• q(x) = -18x² and w(x) = x²

• q(x) = x² - 18 and w(x) = x²

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5

• Vertical shrink/compress by a factor of 5

• Reflect over x-axis

• Vertical shift up 5 units

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

• A/F

• B/G

• C/H

• D/J

• A/F

• B/G

• C/H

• D/J

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