Question

Using graphing technology, create your own quadratic equation whose graph opens down and crosses the x-axis at two points. Use complete sentences to explain what piece of the quadratic equation causes its graph to open up or down. Approximate the coordinates of the vertex and x-intercepts of the parabola.

Answer 1

y = -x^2 + 1
vertex: (0 , 1)
x intercepts: (1 , 0) & (-1 , 0)
it opens down because the coefficient of the x^2 term is negative.