Question

For the function y= x^2 + 8x +3 find:
a) the axis of symmetry
b) the vertex
c) state whether the vertex is a minimum or a maximum
d) find the y-intercept

Answer 1

I've tried..

Answer 2

The axis of symmetry of a quadratic equation is \[x =\frac{ -b}{ 2a }\] .
The vertices are the solution to the quadratic equation at x = axis of symmetry. The maximum/minimum condition depends on the value of a. If a is negative, it's a maximum and vice versa. To calculate the y-intercept, set x = 0.