USE MATLAB TO DO THIS $!$

Given a quadratic equation of the following form, where $a,b$ and $c$ are constant

coefficients:

$f(x)=a{x}^2+bx+c$

Write a local function that will output the following $3$ items on the same graph: $1)$ the quadratic

equation $f(x),2$ the line of tangent to $f(x)$ with a slope provided by the user, and $3)$ the intersection point

$($between the line of tangent and the quadratic equation$).$ The function will accept two input arguments:

a vector that consists of the coefficients of a quadratic equation, and the slope of a line $($m$).$ An error

message will be displayed if the input vector has too many or not enough elements. The function will

work for any quadratic equations. The output graph will be structured such that the $x-$coordinate of the

intersection point will always be displayed at the middle of the $x-$axis. $[$ Note: the "solve" command

and symbolic toolbox cannot be used. Loops can be used if necessary.$]$

Start with the function definition shown below.

See the following example:

Inputting the following in the Command Window will display the graph in Fig. $1$