Standard Form and Factored Form of a Quadratic Equation

What can we find easily in factored form?

• y-intercept

• vertex

• zeros/x-intercepts

y=2x²-6x+1 is in what form?

• Vertex Form

• Factored form

• Standard Form 

• Cannot be determined

This is what form? y = 5(x+2)(x-1)

• Standard

• Vertex

• Factored

• None of These

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

• -(x-6)(x-8)

• -(x+6)(x+8)

• (x-6)(x+8)

• (x+6)(x-8)

Write the equation of the quadratic function in intercept form (factored).

• y = (x + 1)(x - 1)

• y = x² + 1

• y = ( x - 1 )²

• y = ( x + 1 )²

Tags

CCSS.HSF-IF.C.7A

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Tags

CCSS.HSF-IF.C.7A

Write the equation of the quadratic function that has a x-intercepts 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)

Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).

• y = x² + 9x - 18

• y = -2(x - 9)(x - 1)

• y = -2(x + 9)(x + 1)

• y = 2(x + 9)(x + 1)

What is the name of this form:
y = ax² + bx + c

• vertex form

• standard form

• factored form

• zero form