Vertex Form Test Prep

5.13a Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

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5.13a Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

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5.13a Which quadratic function in vertex form can be represented by the graph that has a vertex at (-8, -5) and passes through the point (-13, 5)?

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5.13a Which function’s graph has a vertex at (-1, 7) and contains the point (3, -25)?

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5.16b

Which function is best represented by this graph?

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5.13a Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9

• y = -6(x - 5)² + 9

• y = 6(x - 5)² + 9

• y = -6(x + 5)² + 9

5.13a Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

• f(x) = 1/4(x - 4)² - 1

• f(x) = 4(x - 4)² - 1

• f(x) = 4(x + 4)² - 1

• f(x) = 1/4(x + 4)² - 1

5.16b

What is the equation in vertex form?

• y = 4(x + 3)² - 4

• y = -4(x - 3) - 4

• y = -4(x + 3)² + 4

• y = -4(x - 3)² + 4

5.13c

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

5.13c

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