SOLUTION: For f of x, f(x)=3(x-4)squared - 1 find the coordinates of the vertex, the equation of the axis of symmetry, the x-intercepts(if any) and the y-intercept.

Question 62480: For f of x, f(x)=3(x-4)squared - 1 find the coordinates of the vertex, the equation of the axis of symmetry, the x-intercepts(if any) and the y-intercept.
Answer by 303795(602) (Show Source): You can put this solution on YOUR website!

The axis of symmetry is at x=4 because x=4 makes the part in the bracket = 0.
The vertex is on the axis of symmetry so it will be at -1. Can either just look at the -1 at the end of the equation or substitute x=4 into the equation.
The y intercept occurs when x=0 so substitute x=0 into the equation.

The x intercepts occur when f(x)=0 so substitute that into the equation.
Add 1 to each side of the equation

Divide each side by 3

Find the square root of each side
or Solve for x by adding 4 to each side of the equation
or

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