# Algebra 2 – Parabola – Direction and Vertex

Parabola

• In which direction does the parabola given by the equation below open?

y = -3(x + 4)² + 6

• What is the vertex of the parabola given by the equation below?

x = -4(y - 3)² + 2

### Comments for Algebra 2 – Parabola – Direction and Vertex

 Sep 25, 2012 Parabola – Direction and Vertex by: Staff Answer:   • In which direction does the parabola given by the equation below open?           y = -3(x + 4)² + 6        The parabola opens downward.        The minus sign at the beginning of the equation shows that the parabola opens downward.    • What is the vertex of the parabola given by the equation below?            x = -4(y - 3)² + 2       The vertex of the parabola is (2,3).        You can solve for the y value of the vertex as follows:           -4(y - 3)² = 0           -4(y - 3)² / (-4) = 0 / (-4)           -4(y - 3)² / (-4) = 0           (y - 3)² * [(-4) / (-4)] = 0           (y - 3)² * 1 = 0           (y - 3)² = 0           (y - 3)² = 0           √[(y - 3)²] = √0           (y - 3) = 0           y - 3 = 0           y - 3 + 3 = 0 + 3           y + 0 = 0 + 3           y = 3       You can solve for the x value of the vertex as follows:           x = -4(y - 3)² + 2           let y = 3 (the y coordinate of the vertex)           x = -4(3 - 3)² + 2           x = -4(0)² + 2           x = 0 + 2           x = 2 Thanks for writing. Staff www.solving-math-problems.com