Question

A wolf leaps out of the bushes and takes a hunter by surprise. Its trajectory can be mapped by the equation f(x) = −x2 + 8x − 12. Write f(x) in intercept form and find how far the wolf leaped using the zeros of the function. (1 point)

y = (x + 2)(x − 6); the wolf leaped a distance of 8 feet using zeros −2 and 6

y = −(x − 2)(x − 6); the wolf leaped a distance of 4 feet using zeros 2 and 6

y = (x − 3)(x + 4); the wolf leaped a distance of 7 feet using zeros −4 and 3

y = −(x − 3)(x − 4); the wolf leaped a distance of 1 foot using zeros 3 and 4

Answer 1

Check the picture below.

`f(x)=-x^2+8x-12\implies f(x)=-(x^2-8x+12) \\\\\\ f(x)=-(x-6)(x-2)\implies 0=-(x-6)(x-2)\implies x= \begin{cases} 2\\ 6 \end{cases}`