Question

Enter the function in standard form. Determine the x-intercepts and zeros of the function.

y = 2(x + 4)(x - 6)
The standard form is y = 2x-4x-48.
The x -intercepts are
and
The zeros are
and

Answer 1

Explanation:

If (p, 0) and (q, 0) are x-intercepts, then p and q are zeros.

The intercept form of an equation of a quadratic function:

y = a(x - p)(x - q)

p, q - x-intercepts (zeros).

We have the equation: y = 2(x + 4)(x - 6) = 2(x - (-4))(x - 6)

Therefore the x-intercepts are -4 and 6.

The zeros are -4 and 6 too.