Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) =-(x+8)^2-3

3 Answers | Add Yours

beckden's profile pic

beckden | High School Teacher | (Level 1) Educator

Posted on

Yes.  If a < 0 then the parabola goes downward (sad). The vertex (-8, -3) is in the third quadrant, so the parabola starts in the 3rd quadrant and goes downward.

beckden's profile pic

beckden | High School Teacher | (Level 1) Educator

Posted on

If the formula for a parabola is in vertext form

y = a(x - b)^2 + c

x = b is the line of symmetry, (b, c) is the vertex, and if a > 0 then the vertex is the minimum, else if a < 0 then the vertex is the maximum.

The equation is in vertex form, so the axis of symetry is at

x = -8

The vertex is at (-8, -3)

-3 is the maximum.

goredsgo2's profile pic

goredsgo2 | Student, College Freshman | eNotes Newbie

Posted on

when you graph. would the graph be in quadrant 3 and going down then?

We’ve answered 318,947 questions. We can answer yours, too.

Ask a question