Question Type 9: Converting quadratics into the vertex form Exercises

Convert $y = x^2 + 6x + 5$ into vertex form.

Expand $y = 5(x - 2)^2 + 3$ into standard form $ax^2 + bx + c$.

Convert $y = x^2 - 4x + 7$ into vertex form.

Convert $y = -x^2 + 8x - 5$ into vertex form.

Expand $y = 2\left(x - \frac{1}{2}\right)^2 - 5$ into the form $y = ax^2 + bx + c$.

Convert $y = 2x^2 - 10x + 12$ into vertex form.

Expand $y = -3(x + 4)^2 + 2$ into standard form.

Convert $y = \frac{1}{2}x^2 - 3x + 1$ into vertex form.

Write the vertex form of the parabola with vertex $(3,-2)$ and leading coefficient $a=4$.

Convert $y = 3x^2 + 12x + 7$ into vertex form.

Convert $y = -2x^2 + 12x - 18$ into vertex form.

Express $y = 4x^2 - 16x + 3$ in vertex form.