What is the point $\left(h,k\right)$(h,k) on the parabola defined by the equation $y=a\left(x-h\right)^2+k$y=a(x−h)2+k?
Axis of symmetry
Consider the equation $y=\left(x+1\right)^2$y=(x+1)2.
Consider the quadratic function $f\left(x\right)=\left(x-3\right)^2$f(x)=(x−3)2.
Consider the quadratic function $h\left(x\right)=\left(x+5\right)^2$h(x)=(x+5)2.
Sketch, by hand, the graph of y = a(x – h )^2 + k by applying transformations to the graph of y = x^2