Writing Quadratic Equation

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• f(x) = 3(x - 1)² - 18

• f(x) = -6(x - 1)² + 6

• f(x) = 6(x - 3)² - 18

• f(x) = -3(x + 1)² - 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What information do you need to write an equation in vertex form? Select all that apply.

• an ordered pair anywhere on the parabola

• the coordinates for the vertex

• the formula for standard form

• the formula for vertex form

Tags

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• y = -1.5(12.5 - 8)²

• y = 2(x + 0)² + 8

• y = -2(x + 1.5)² + 12.5

• y = 8(x + 1.5)² - 12.5

• None of the above

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSG.GPE.A.2

A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?

Formula: f(x) = a(x - h)² + k

• -11 = a(10 - 6)² + 5

• y = -(10 - h)² + k

• y = -(x - 6)² + 5

• y = (x - 6)² + 5

Which of the following statements are TRUE?

Select all that apply.

• The "a" value is positive.

• The y-intercept is positive.

• It has two zeros.

• The axis of symmetry is x = 1.

• The vertex is at (0, 5).

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

Given: vertex (1, 18) and zeros -2 and 4 What is the equation of the quadratic function in factored form?

• y = 2(x -2) (x + 4)

• y = -2 (x + 2)(x - 4)

• y = 1/2 (x+ 2) (x - 4)

• y = -1/2 ( x + 2) ( x - 4)

What is the equation of the parabola?

• y =(x - 1)(x-3)

• y = -1/2(x - 1)(x + 3)

• y = 2(x + 1)(x - 3)

• y = - 1(x- 1)(x - 3)

Tags

CCSS.HSA.APR.B.3

CCSS.HSG.GPE.A.2

what is true about the quadratic Function, f(x) =2(x + 4)(x - 2).

I. The zeros for the function are 4 and -2

II. The axis of symmetry is x = 2.

III. The y-intercept is the point (0, -16)

• I only

• II only

• III only

• I and II

• I , II, and III

Does the quadratic function have a max or min y = -2(x - 2) (x + 4) what is the point?

• maximum (-1, -12)

• minimum (-1, 18)

• maximum (-1, 18)

• minimum (1, -12)

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A