Writing Quadratic Equations

Y = ax² + bx + c is called the ______________ form of a quadratic equation.

• Vertex
• Intercept
• Standard
• Usual

Y = a(x-h)² + k is called the ______________ form of a quadratic equation.

• Vertex
• Intercept
• Standard
• Usual

Use the vertex form to write the equation of the parabola.

• y = 3(x - 2)² + 2

• y = 3(x - 2)² - 2

• y = 3(x + 2)² + 2

• y = (x + 2)² + 2

Use the vertex form to write the equation of the parabola.

• y = -(x - 2)² + 5

• y = -3(x - 2)² + 5

• y = -3(x + 2)² + 5

• y = -3(x + 2)² - 5

Suppose a parabola has vertex (-8, -7) and also passes through the point (-7,-4). Write the equation of the parabola in vertex form.

• y = (x + 8)² - 7

• y = 3(x - 8)² - 7

• y = 3(x + 8)² - 7

• y = 3(x + 8)² + 7

Suppose a parabola has vertex (1,-4) and also passes through the point (2,-1). Write the equation of the parabola in vertex form.

• y = (x - 1)² - 4

• y = 3(x - 1)² + 4

• y = 3(x - 1)² - 4

• y = 3(x + 1)² - 4

Suppose a parabola has an axis of symmetry at x=8, a maximum height of 1 and also passes through the point (9,-1). Write the equation of the parabola in vertex form.

• y = -2(x - 8)² + 1

• y = -2(x + 8)² + 1

• y = (x - 8)² + 1

• y = 2(x - 8)² - 1

Suppose a parabola has an axis of symmetry at x=5, a maximum height of 6 and also passes through the point (6,3). Write the equation of the parabola in vertex form.

• y = -3(x - 5)² + 6

• y = (x - 5)² + 6

• y = -3(x + 5)² + 6

• y = 3(x - 5)² - 6

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 equation in vertex form?

• y = -4(x + 3)² - 4

• y = -4(x - 3) - 4

• y = -4(x + 3)² + 4

• y = -4(x - 3)² + 4