Vertex Form of Quadratic Equations

A Grade 11 math worksheet focusing on understanding, converting, and analyzing quadratic equations in vertex form.

Grade 11 Math AlgebraVertex Form

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.ACCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSF.IF.C.7.A

Topics

AlgebraVertex FormQuadratic EquationsGraphing

8 sections · Free to use · Printable

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Vertex Form of Quadratic Equations

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Read each question carefully and provide clear, concise answers. Show all your work for full credit.

1. What is the vertex of the quadratic function y = 2(x - 3)² + 4?

(3, 4)

(-3, 4)

(3, -4)

(-3, -4)

2. In the vertex form equation y = a(x - h)² + k, the value of 'a' determines the and of the parabola.

3. To convert a quadratic equation from standard form (y = ax² + bx + c) to vertex form, you can use the method of .

4. Write the equation of a parabola with a vertex at (-1, 5) that opens downwards and is wider than y = x².

5. Explain how the sign of 'a' in vertex form affects the graph of the parabola.

6. Graph the quadratic function y = -(x + 2)² + 1 on the coordinate plane below. Label the vertex and at least two other points.

7. The axis of symmetry for a parabola in vertex form y = a(x - h)² + k is always x = h.

True

False

8. A ball is thrown upwards from a height of 5 feet with an initial velocity of 48 feet per second. The height of the ball (h) after t seconds can be modeled by the equation h(t) = -16t² + 48t + 5. Convert this equation to vertex form and determine the maximum height the ball reaches and the time it takes to reach that height.