Question

Given f(x) = -x² - 4x + 4, Find the following:

Y-intercept:



Vertex:



Axis of symmetry (A.O.S.):

Answer 1

4; (-2;8); x=-2.

Explanation:

Y-intercept: this condition is performed when x=0. Then f(0)=4;

`Vertex: \ x_0=-=(b)/(2a)=-(-4)/(-2)=-2;\\y_0=f(-2)=8;\\vertex(-2;8);`

Axis of symmetry (A.O.S.): this condition is performed when the vertex (-2;8) belongs to the vertical line, then AOS is x= -2.