Here is an equation of a parabola in standard form:
\(y=\frac23x^2+8x+10\)
Rewrite the equation in vertex form by completing the square.
Identify the transformations from the graph of \(y=x^2\) to this parabola.
Identify the vertex and \(y\)-intercept of this parabola.
Problem 2
A parabola has been transformed from \(y=x^2\) by reflecting over the \(x\)-axis, stretching vertically by a factor of 4, shifting down 7, and shifting left 3.
What is an equation for this parabola?
What is the vertex of this parabola?
Problem 3
What transformations will take the parabola \(y=x^2\) to the parabola \(y=\frac53(x-13)^2+12\)?
Problem 4
A parabola is transformed from \(y=x^2\) to \(y=\text-4x^2-16x-24\).
Write an equation for the parabola in vertex form.
What transformations were applied to the parabola?