Quadratic FUNCTIONS

Question 1

What is the standard form of a quadratic function?

Answer 1

F(x)=ax^2+bx+c

Question 2

What shape does the graph of a quadratic function form?

Answer 2

A parabola.

Question 3

What shape does the graph of a quadratic function form?

Answer 3

A parabola.

Question 4

What determines if the parabola opens upwards or downwards?

Answer 4

if a>0 the parabola opens upwards
If a<0 the parabola opens downwards

Question 5

What determines if the parabola opens upwards or downwards?

Answer 5

if a>0 the parabola opens upwards
If a<0 the parabola opens downwards

Question 6

What is the vertex of a parabola?

Answer 6

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Question 7

What is the axis of symmetry in a quadratic function?

Answer 7

The vertical line that passes through the vertex, given by the equation

Question 8

How can you find the roots of a quadratic function?

Answer 8

By factoring, using the quadratic formula , or by completing the square.