Section 4.2 : Parabolas
For problems 1 – 7 sketch the graph of the following parabolas. The graph should contain the vertex, the y intercept, x-intercepts (if any) and at least one point on either side of the vertex.
- \(f\left( x \right) = {\left( {x + 4} \right)^2} - 3\) Solution
- \(f\left( x \right) = 5{\left( {x - 1} \right)^2} - 20\) Solution
- \(f\left( x \right) = 3{x^2} + 7\) Solution
- \(f\left( x \right) = {x^2} + 12x + 11\) Solution
- \(f\left( x \right) = 2{x^2} - 12x + 26\) Solution
- \(f\left( x \right) = 4{x^2} - 4x + 1\) Solution
- \(f\left( x \right) = - 3{x^2} + 6x + 3\) Solution
For problems 8 – 10 convert the following equations into the form \(y = a{\left( {x - h} \right)^2} + k\).