Question

Three equivalent forms of a quadratic function are given. Select the form which reveals the zeros of f(x) without needing to alter the equation. Then, select all values for x from the given list when f(x) = 0.

Answer 1

Answer:

Read explanation and apply it

Step-by-step explanation:

The vertex form of a quadratic equation is  $f(x)=a(x-h)^2+k$

The general form of a quadratic equation is $f(x)=ax^2+bx+c$

The factored form of a quadratic equation is $f(x)=a(x-p)(x-q)$

The one which reveals the zeros of f(x) without needing to alter the equation is the factored form  $f(x)=a(x-p)(x-q)$.

When f(x)=0, we have  $a(x-p)(x-q)=0$

The values of x are $x=p$ and $x=q$.

I hope this guides you to choose the correct answer.