Solving Quadratics by Graphing, Factoring, and Square Root Methods

What is this formula?

• This is the standard formula.

• This is the quadratic formula.

• This is the square root formula.

• This is the Pythagorean formula

Which method is best in solving quadratic equations when B=0?

• Factoring

• Completing the Square

• Quadratic Formula

• Square Roots

• What times itself is C when added together is B?

• What numbers equal A times C when multiplied together and equal B when added together?

• Why is A lower than B and C?

• What times C eqauls (-b/2a)

A quadratic equation has a maximum of how many real solutions?

• 1

• 0

• 3

• 2

If the parabola opens downward, like a sad face, then...

• A is positive and it has a minimum

• A is positive and it has a maximum

• A is negative and it has a minimum

• A is negative and it has a maximum

Factor x²-16

HINT: Need help?

Multiply the answers using the box method or distributive method. Which answer matches the question.

Or graph the question on DESMOS. Then 1 by 1 graph each answer. Which answer's graph matches the question's graph?

• (x+4)²

• (x-4)²

• (x-16)(x+16)

• (x-4)(x+4)

• A
• B
• C
• D

Which method is the easiest when it works?

• Factoring

• Quadratic Formula

• Graphing

• Completing the Square

The standard form of a quadratic equation is y=ax²+bx+c.

When factoring and when a=1, we should first find....

• what 2 numbers multiply to "c" and the same 2 numbers add to "b".

• what 2 numbers multiply to "b" and the same 2 numbers add to "c".

• what 2 numbers multiply to "c".

• what 2 numbers add to "b".

When factoring, graphing, or using the quadratic formula, the right side (or one side) of the equation MUST equal this number.

What is "this number"?

• -1

• 0

• 1

• it can be any number