511 Writing Quadratics in Vertex Form

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

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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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

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Which equation would have a parabola with a vertex at (-3,4) and goes through the point (-1,-8)?

Write the equation in standard form for a parabola that has a vertex at (-4,2) and passes through the point (-3,6).

Write y = x² + 4x - 1 in vertex form.

• y = (x - 2)² + 5
• y = (x + 2)² - 5
• y = (x + 2)² - 1
• y = (x +2)² + 3

Write y = x² - 18x + 52 in vertex form.

• y = (x - 9)² + 113
• y = (x + 9)² - 29
• y = (x - 9)² + 52
• y = (x - 9)² - 29

STRATEGY: GRAPH and CHECK

HINT1: Which answers have the numbers of the vertex (1,46)?

HINT2: Type the point (3,10) to check if graph touches it

• A

• B

• C

• D

Identify the vertex and whether the graph opens up or down. (a)  

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down