Staar Quadratic Transformations

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

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A.7.C

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A.7.C

The graph of f(x)=x^2 is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x)=7x^2 is true?

• The graph of g is narrower then the graph of f.

• The graph of g is wider then the graph of f.

• The graph of g is 7 units below the graph of f.

• The graph of g is 7 units above the graph of f.

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A.7.C

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

Tags

A.7.C

• horizontal shift to the right 4 and vertical shift down 2

• horizontal shift to the left 4 and vertical shift up 2

• horizontal shift to the right 4 and vertical shift up 2

• horizontal shift to the left 4 and vertical shift down 2

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

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3