Question

for the quadratic function f(x)= -x² - 2x, answer parts (a) through (f). (a) concave down concave up (b) find the y - intercept and the x - intercepts, if any. what is the y - intercept? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the y - intercept is . (type an integer or a simplified fraction.) b. there is no y - intercept.

Explanation:

Step1: Find the y - intercept

Set \(x = 0\) in \(f(x)=-x^{2}-2x\). Then \(f(0)=-(0)^{2}-2(0)=0\).

Step2: Find the x - intercepts

Set \(f(x) = 0\), so \(-x^{2}-2x=0\). Factor out \(-x\): \(-x(x + 2)=0\). Then \(-x=0\) or \(x+2=0\), which gives \(x = 0\) or \(x=-2\).

Answer:

A. The y - intercept is \(0\)