Question

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.

1. p(x) = 5x2 + 30x

2. p(x) = 5(x2 + 6x)

3. (six-halves) squared = 9;

4. p(x) = 5(x2 + 6x + 9) – 5(9)

5. p(x) = 5(x + 3)2 – 45

What is the vertex of this function? Is it a maximum or a minimum?



What is the axis of symmetry of this function?

Answer 1

Explanation:

hello :

p(x) = 5(x + 3)2 – 45

the vertex is the point : A(-3 ; -45)

minimum -45

the axis of symmetry is the line when an equation is : x = -3