Question

a quadratic function $f(x)$ is hidden from view. you must find the $x$-intercept(s) of $f(x)$ and write the answer(s) in the form $(x, y)$. choose the form of the quadratic function $f(x)$ that you would like to see in order to answer the question most efficiently.
form: factored form $f(x) = -3(x - 3)(x + 1)$
answer attempt 1 out of 2
there are two $x$-intercepts
and
submit answer

Explanation:

Step1: Recall x-intercept definition

x-intercepts occur where \( f(x) = 0 \). So set \( -3(x - 3)(x + 1)=0 \).

Step2: Solve for x

Since a product is zero when at least one factor is zero, we have two cases:

• Case 1: \( x - 3 = 0 \), so \( x = 3 \). Then the point is \( (3, 0) \) (since \( y = f(x)=0 \) at x-intercept).
• Case 2: \( x + 1 = 0 \), so \( x = -1 \). Then the point is \( (-1, 0) \).

Answer:

\( (3, 0) \) and \( (-1, 0) \)