Writing quadratic equations

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.2

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

What is the standard form of a quadratic?

• y = ax² + bx + c

• y = a(x - h)² + k

• y = mx + b

• y = (x - h)(x - k)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.CED.A.1

What is the vertex form a quadratic?

• y = ax² + bx + c

• y = a(x - h)² + k

• y = mx + b

• y = (x - h)(x - k)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)² - 4

Formula: y = ax² + bx + c

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the equation into standard form:

y = -5(x + 2)² - 10

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write an equation in standard form with y-int: 5 that goes through points (-1, 10) and (1,6)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10