Graphing Quadratics in Factored Standard and Vertex Form

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 point contains the minimum or maximum value of a parabola?

• axis of symmetry

• vertex

• roots

• y-intercept

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

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

• (-8, 2)

• (8, -2)

• (3, -25)

• (3, 25)

Write the equation of the quadratic function that has a x-intercepts (p and q) at 2 and 4 and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)

• y = -4(x + 2)(x + 4)

• y = 4(x - 2)(x - 4)

• y = -0.25(x - 2)(x - 4)

Which quadratic equation best represents a graph that has x-intercepts at -6 and -1 and goes through (0, -6)

• y = -(x - 1)(x - 6)

• y = (x - 1)(x - 6)

• y = -(x + 1)(x + 6)

• y = -6(x + 1)(x + 6)

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

• y =(x - 1)(x - 3)

• y = -1/2(x - 1)(x + 3)

• y = 2(x + 1)(x - 3)

• y = - 1(x - 1)(x - 3)

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

• y = (x - 1)(x + 3)

• y = (x + 1)(x - 3)

• y = 2(x + 1)(x - 3)

• y = 2(x - 1)(x + 3)

Use the graph to determine the solutions of this quadratic function.

• (-1,0) and (-3,0)

• (1,0) and (3,0)

• (0,1) and (0,3)

• (0,-1) and (0,-3)

What is the significance of the ordered pair (2, -4) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry