Graphing Quadratics in Vertex Form

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.C.7

CCSS.HSF.IF.B.4

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.C.7

CCSS.HSF.IF.B.4

Identify the vertex and whether the graph opens up or down.

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

Tags

CCSS.HSF-IF.C.7A

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.8.F.A.1

CCSS.8.F.A.2

CCSS.8.G.A.3

What is the axis of symmetry of the given function?

• y = 1
• y = -1
• x = 1
• x = -1

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Tags

CCSS.HSF-IF.C.7A

Write a quadratic function in vertex form with vertex (-4, 6) that opens up

• f(x) = -2(x - 4)² + 6

• f(x) = (x + 4)² + 6

• f(x) = -2(x + 4)^{2 + 6}

• f(x) = (x - 4)² + 6

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

The function f(x) = -3(x + 2)² - 1 opens what direction?

• Up

• Down

Tags

CCSS.HSF-IF.C.7A

Write a quadratic function in standard form whose vertex is at the point (-1, 1) that opens down.

• f(x) = -2(x + 1)² + 1

• f(x) = -2(x - 1)² + 1

• f(x) = -2(x + 1)² - 1

• f(x) = 2(x - 1)² + 1

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4