3.12 Graphing Quadratics in INTERCEPT Form Lesson Check

If a parabola opens upward and has roots at (3,0) and (-9,0), what is the equation?

• y = a(x - 3)(x - 9), a > 0

• y = a(x - 3)(x + 9), a < 0

• y = a(x - 3)(x - 9), a < 0

• y = a(x - 3)(x + 9), a > 0

If a parabola opens downward and has roots at (5,0) and (6,0), what is the equation?

• y = a(x + 5)(x + 6), a < 0

• y = a(x - 5)(x - 6), a < 0

• y = a(x + 5)(x + 6), a > 0

• y = a(x - 5)(x - 6), a > 0

What are the root(s) for g(x) =3(x + 8)(x + 2)

• (8,0) (2, 0)

• (3, 0)

• (-8,0) and (-2,0)

• (0,-8) and (0,-2)

What are the root(s) for g(x) = (x -10)(x + 1)

• (10,0) and (-1, 0)

• (-10, 1)

• (-10,0) and (-1,0)

• (0,10) and (0,-1)

What point contains the minimum or maximum value of a parabola?

• axis of symmetry

• vertex

• roots

• y-intercept

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

Which equation is in intercept form? (also known as factored form)

• f(x) = 3x +2

• f(x) = -3(x - 1)(x + 5)

• f(x) = x² + 2x + 3

• f(x) = -4(x - 2)² + 1

What is the axis of symmetry for the quadratic

 $y=2\left(x-3\right)\left(x-7\right)$  

• x=5

• x=5/2

• x=-5

• x=-5/2

What is the vertex for the quadratic

 $y=-\left(x-6\right)\left(x+4\right)$  

• (-1, 15)

• (-1, -15)

• (1, 25)

• (1,-25)

Determine the vertex of h(x) = (x - 8)(x + 2)

• (-8, 2)

• (8, -2)

• (3, -25)

• (3, 25)