Quadratic Equations Given Vertex and a Point

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 function is best represented by this graph?

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Tags

CCSS.HSF-IF.C.7A

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

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Tags

CCSS.HSF-IF.C.7A

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

Is this a max or min?

• max
• min
• cannot be determined

What is the green dot on the parabola called?

• maximum
• minumum
• roots
• zeros

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

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)

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex