Graph Quadratic in Vertex and Intercept Form

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, 4)
• (-5, -4)
• (5, -4)
• (-5, 4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.B.4

CCSS.HSF.IF.C.7

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

For f(x) = a(x-3)(x+4), what are the coordinates of the x-intercepts?

• (3,0) and (4,0)

• (0,3) and (0,4)

• (3,0) and (-4,0)

• -3 and 4

Tags

CCSS.HSF-IF.C.7C

For f(x)=a(x-5)(x-4), what are the coordinates of the x-intercepts?

• (-5,0) and (-4,0)

• (4,0) and (-5,0)

• (5,0) and (-4,0)

• (5,0) and (4,0)

Tags

CCSS.HSF-IF.C.7C

Find the axis of symmetry of f(x) = -(x + 2)(x - 4)

• y = 1

• x = 1

• y = -1

• x = -1

Find the axis of symmetry of f(x) = 4(x + 1)(x - 1)

• y = 0

• x = -1

• y = -1

• x = 0

Find the vertex of f(x) = (x - 4)(x - 2)

• (3,-1)

• (-3,35)

• (1,3)

• (-1,3)

Find the vertex of f(x) = 2(x + 1)(x + 3)

• (2,30)

• (1,16)

• (-2,30)

• (-2,4)

Convert
 f(x) = 3(x - 5)² - 1 
to standard form.

• f(x) = 3x² -30x + 74
• f(x) = 3x² -10x + 24
• f(x) = 3x² -30x + 24
• f(x) = 3x² -30x + 75

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3