Question

If a < 0 in the quadratic model y = ax^2+ bx + c, what do we know about the rate of change of the model?In the equation y = ax^2+ bx + c, what is the graphical significance of the value of b?In the equation y = ax^2 + bx + c, what is the graphical significance of the value of c?

Answer 1

Given:

A quadratic equation is:

`y=ax^2+bx+c`

Where,

`a<0`

Find-:

1) what do we know about the rate of change of the model?

2) what is the graphical significance of the value of b?

3) what is the graphical significance of the value of c?

Explanation-:

1)

The rate of change is:

`=(\Delta y)/(\Delta x)`

If a < 0 so rate of change is negative.

2)

In equation :

`y=ax^2+bx+c`

In graphical significance of value "b" is:

The value of "b" shifts the graph is horizontal ( that mean the graph shift negative or positive x-axis.)

3)

In a quadratic equation value of "c"

The graph passes the y -axis at the value of "c" if the value of "C" is positive then graph pass positive y-axis if the value of "c" is negative then graph pass negative y-axis.