Find the Quadratic function y=a(x-h)^2 who's graph passes through the given points (4,-2) and (2,0)

Given:

The graph passes through the given points (4,-2) and (2,0).

To find:

The quadratic function .

Solution:

We have, quadratic function

           ...(i)

The graph passes through the given points (4,-2) and (2,0). It means the equation must be true for these points.

Putting x=4 and y=-2 in (i), we get

        ...(ii)

Putting x=2 and y=0 in (i), we get

         ...(iii)

Divide (iii) by (ii).

Putting h=2 in (ii), we get

Divide both sides by 4.

Putting and h=2 in (i), we get

Therefore, the required quadratic function is .

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

one fourth of 9% = 2.25%

gavin is correct in saying : the equivalent quarterly interest rate would be

2.25%.