Quadratic Equations to Vertex Form

Find the vertex form of the quadratic equation y = -3x^2 + 9x - 6.

• y = -3(x + 3/2)^2 + 7/4

• y = -3(x - 3/2)^2 + 7/2

• y = -3(x - 3/2)^2 + 7

• y = -3(x - 3/2)^2 + 7/4

Rearrange the quadratic equation y = 2x^2 + 12x - 5 into vertex form.

• y = 2(x + 3)^2 - 5

• y = 2(x - 3)^2 - 5

• y = 2(x + 3)^2 + 77

• y = 2(x + 3)^2 - 77

Which quadratic function can be represented by the graph that has a vertex at (-5, 9) and passes through the point (-7, -15)?

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

Convert the quadratic equation y = x^2 + 4x + 3 into vertex form.

• y = (x + 2)^2 + 3

• y = (x + 2)^2 + 4

• y = (x + 2)^2 - 1

• y = (x + 2)^2 + 1

Find the vertex form of the quadratic equation y = x^2 - 10x + 25.

• y = (x - 5)^2

• y = x^2 + 10x + 25

• y = (x - 5)^2 + 10

• y = (x + 5)^2

Find the vertex form of the quadratic equation y = x^2 + 2x + 1.

• y = (x + 1)^2 - 2

• y = (x + 1)^2 - 1

• y = (x - 1)^2

• y = (x + 1)^2

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4

• x=-4

• x=1/2

• x=3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)