Question

What are the x-intercept(s) of the graph of y + 20 = x2 − x?

(−4, 0) and (−5, 0)

(−4, 0) and (5, 0)

(4, 0) and (−5, 0)

(4, 0) and (5, 0)

Answer 1

first, notice you can rewrite
\[y+20= x^2-x \]
as
\[y= x^2-x-20 \]
the x-intercepts happen when y is zero. So the question is asking "what x's make this 0 ?"
\[x^2-x-20 =0 \]
can you factor this? (that is how you find what x's make it zero)

Answer 2

or, you can try the different possible solutions given, and see which pair give 0 when you replace x with a number in the equation