Question

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?

Answer 1

Answer:

Coordinates are (–6, 0), (2,0).

Step-by-step explanation:

Given the function $f(x) = x2+4x-12$

we have to find the x-intercepts of the graph of the function f(x).

$y = x2+4x-12$

As the value of y coordinate is 0 on x-axis which gives the x-intercepts of the function.

Put y=0 in above function we get the x-intercepts.

$x^2+4x-12=0$

⇒ $x^2+6x-2x-12=0$

⇒ $x(x+6)-2(x+6)=0$

⇒ $(x-2)(x+6)=0$

⇒ x=2 and x=-6

Hence, x-intercepts are 2 and -6

⇒ Coordinates (–6, 0), (2,0).

Option 1 is correct.

Answer 2

The answer is A (-6,0) (2,0)