Solve what, bruh?

Solutions to quadratic equations

Solving a quadratic equation means finding solutions that make the equation true. We can do that by setting the function equal to 0, but we can also find solutions by analyzing graphs and finding where y=0.

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Are you down with the ZPP?

seriously, Solve what, bruh?

methods to solving quadratic equations

• Factoring using the Zero Product Property

• Square Root Method (only works when a variable squared can be isolated)

• Graphing - find where the parabola crosses the x-axis​

  • yeah, we're about to do this​

Yeah, you know me.

Fr, seriously, Solve what, bruh?

​Solution scenarios for quadratic equations

​two real solutions

How would you describe the vertex location in each scenario?​

​no real solutions

​one real solution

What if it's already solved, bruh?

writing equations given the solution(s) and another point

To write the equation, a graph with root(s) and one other point is required or simply 2 roots and 1 point as ordered pairs.​

What if it's already in factored form, bruh?

converting factored form to standard form

Once we've written an equation in factored form, we can expand it to standard form. Other terms you may have heard instead of "expand":

• double distribute

• FOIL

• simplify

• reverse factor​

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Don't forget to distribute the 'a' value!