Factored Form of a Quadratic Function

When a quadratic function is written in intercept/factored form, what are we solving for when we set f(x) equal to zero and use the zero product property to solve for x?

• y-intercepts

• x-intercepts

• axis of symmetry

• What's a quadratic?

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - m)(x - n)

• f(x) = a(x - h)² + k

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.3

Which equation is the intercept form of a quadratic function?

• f(x) = mx + b

• f(x) = a(x - p)(x -q)

• f(x) = ax² + bx + c

• f(x) = a(x - h)² + k

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

• (-5, 0) and (9, 0)

• (5,0) and (-9, 0)

• (5, 0) and (9, 0)

• (-3, 0) and (5, 0)and (-9, 0)

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts of the parabola?

y = ¼(x + 2)(x - 6)

• (-2, 0) and (6, 0)

• (2, 0) and (-6, 0)

• (-2, 6)

• (¼, 0) and (-2, 0) and (6, 0)

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts of the parabola?

y = x(x - 4)

• (0, 0) and (4, 0)

• (1, 0) and (4, 0)

• (0, 4)

• (-4, 0) and (0, 0)

Tags

CCSS.HSF-IF.C.7A

In f(x) = a(x - p)(x - q), what does "a" tell us?

• The slope

• If the Parabola opens up or down

• x coordinate of the x - intercept

• y coordinate of the y - intercept

Tags

CCSS.HSF-IF.C.7A

State the direction of opening of the following: y = -(x+3)(x-2)

• Left
• Up
• Down
• Right

Tags

CCSS.HSF-IF.C.7A

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

• x = -1

• x = -1 or x = 1

• x = 1

• x = -2 or x = 5

Tags

CCSS.HSA-REI.B.4B

Solve 2x² - 7x + 6 = 0 by factoring

• x = -3/2 and x = -2

• x = -3 and x = -2

• x = 3 and x = 2

• x = 3/2 and x = 2

Tags

CCSS.HSA-REI.B.4B