TEKS A.7C: Quadratic Transformations

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CCSS.8.G.A.1

CCSS.8.G.A.3

• H.) g(x) = x²- 4.5

• J.) g(x) = x² + 4.5

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CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

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CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

CCSS.8.G.A.3

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

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CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

CCSS.8.G.A.3

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

• A.) The graph of g is a reflection of the graph of f across the x-axis.

• B.) The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

• C.) The graph of g is a reflection of the graph of f across the y-axis.

• D.) The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

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CCSS.8.F.A.2

CCSS.8.G.A.3

The graph of quadratic function p is shown on the grid. If k(x) = x² and p(x) = k(x) + n, what is the value of n?

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CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

• F.) A reflection over the x-axis and a horizontal stretch

• G.) A reflection over the y-axis and a horizontal stretch

• H.) A reflection over the x-axis and a vertical stretch

• J.) A reflection over the y-axis and a vertical stretch

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CCSS.8.G.A.3

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?

• A.) q(x) = 18x² and w(x) = x²

• B.) q(x) = x² + 18 and w(x) = x²

• C.) q(x) = -18x² and w(x) = x²

• D.) x² - 18 and w(x) = x²

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CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation?

• F.) A horizontal shift to the right 7.5 units.

• G.) A horizontal shift to the left 7.5 units.

• H.) A vertical shift down 56.25 units.

• J.) A vertical shift up 56.25 units.

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CCSS.8.G.A.3

Function p is in the form y = ax² + c. If the values of a and c are both less than 0, which graph could represent p?

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CCSS.8.F.A.1

CCSS.8.F.B.5