2nd Write Quadratic Equations ET 12/14

Convert this equation in vertex form to standard form.

(x-1)² -1

• x² -2x - 2

• x²+x-2

• x²+2

• x²-2x

Review: What are the vertex and axis of symmetry for the given graph?

• Vertex (1, -4) Axis of Symmetry: x=1

• Vertex (1, -4) Axis of Symmetry x = -4

• Vertex (-4, 1) Axis of Symmetry x=-4

• Vertex (-4, 1) Axis of Symmetry x = 1

Which equation best represents the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

What is the vertex form of this quadratic?

• f(x) = -(x + 2)² - 4
• f(x) = (x - 2)² + 4
• f(x) = (x - 2)² - 4
• f(x) = -(x - 2)² - 4

Which equation represents this graph. (Hint: Use Desmos.com to graph the equations and find the matching graph)

• f(x)=(x - 4)² - 3

• f(x)=-(x - 4)² + 3

• f(x)=(x - 4)² + 3

• f(x)=-(x + 4)² + 3

Write the equation of the parabola shown.( (Hint: Use Desmos.com to graph the equations and find the matching graph)

• y = 2x² + 4x - 5

• y = 2x² - 4x + 5

• y = 2x² + 4x + 5

• y = 2x² - 4x - 5

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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Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and focus at (4,1)

• f(x) = 1/4(x - 4)² - 1

• f(x) = 8(x - 4)² - 1

• f(x) = 4(x + 4)² - 1

• f(x) = 1/4(x + 4)² - 1

Which function’s graph has a vertex at (3, 5) and focus at (3, 11/2)?

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