Question

graph the function . identify the axis of symmetry.
2
y=(x-3) -4

Answer 1

Is this meant to be read as \[y=(x-3)^{2}-4\]

Answer 2

yes

Answer 3

Alrighty. Then this will be a parabola with a y-intercept at -4 and a line of symmetry at +3. The cool thing about having the equation in that form is that you can quickly see where it's shifted too (the line of symmetry) and the y-intercept.

Can you plug in numbers from there?

Answer 4

using transformations, this graph will look exactly like \(\ y=x^2 \) but translated 3 units to the right, and 4 units down.
the y-intercept will be at y=5, x-intercepts at x=1, 5.