Question

When a quadratic function is graphed, it will produce a parabola. Describe the difference between a Minimum Vertex and a Maximum Vertex of a parabola. Your explanation should be 3-4 sentences long and use the following vocabulary words;

Parabola
axis of symmetry
vertex

Answer 1

see the explanation

Explanation:

we know that

The quadratic equation of a vertical parabola written in vertex form is equal to

`y=a(x-h)^2+k`

where

a is a coefficient

(h,k) represent the vertex of the parabola

If a > 0

The parabola open upward and the vertex is a minimum

If a < 0

The parabola open downward and the vertex is a maximum

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

The equation of the axis of symmetry is

`x=h`