Converting from Standard to Factored Form Quadratics

Reorder the following steps for converting from standard to factored form.

• Factor and then write your final answer with f(x)=.

• Multiply a & c.

• Keep a & c but replace with new b's.

• Find the factors that multiply to equal a & c but add to equal b.

• Find the GCF if there is one.

Factored form of a quadratic function reveals the...

• roots

• axis of symmetry

• vertex

• whether the parabola is positive or negative

(7r-6)(7r+6)

• 49r²+36

• 49r²-36

• 49r²+84r+36

• 49r²+42r+36

In factored form you can see the ______ of the graph easily.

• y-intercept

• vertex

• x-intercepts

Turn the following quadratic function from standard form into factored form:

y = x² - 10x + 25

• y= (x + 5) (x - 5)

• y = (x - 15) (x + 10)

• y = (x + 5) (x - 20)

• y = (x - 5) (x - 5)

Turn the following quadratic function from standard form into factored form:

• y = (x - 15)(x + 4)

• y = (x - 6)(x + 10)

• y = (x - 6)(x - 10)

• y = (x +30)(x - 2)

Turn the following quadratic function from standard form into factored form:

y = x² -16x + 48

• y = (x - 12)(x - 4)

• y = (x + 6)(x - 8)

• y = (x + 12)(x - 4)

• y = (x -16)(x - 3)

Convert to Factored Form:

f(x) = x²+3x-18

• f(x)=(x-6)(x+3)

• f(x)=(x+6)(x+3)

• f(x)=(x+6)(x-3)

• f(x)=(x-6)(x-3)

Using the graph shown, write the equation of a quadratic function in factored form for this parabola.

• y = (x+8)(x+6)

• y = (x+8)(x-6)

• y = (x-6)(x-8)

• y = (x-8)(x+6)