[tex](2,-9)[/tex] The graph function f is the collection of the ordered-pair set, which can be represented by [tex]{\displaystyle f(x)=y.}[/tex], that's why the point a, b is "1, -4".
Graph function calculation:
[tex]f(x)=x^2-4x-5[/tex]
compare the function with the standard equation:
then
[tex]a=1\\b=-4\\c=-5[/tex]
Using the formula for a vertex:
[tex]X = \frac{-b}{2a}\\\\X= \frac{-(-4)}{2(1)}\\\\X= \frac{(4)}{2(1)}\\\\X= \frac{4}{2}\\\\ X= 2[/tex]
Calculating the vertex y-coordinate:
[tex]\to f(x)= 2^2-4(2)-5\\\\\to f(x)= 4-8-5\\\\\to f(x)= 4-13\\\\\to f(2)= -9[/tex]
Following are the calculation of the vertex that is plotted are [tex](2,-9)[/tex]
Calculating the function of the factor to find the x-intercepts
[tex]\to (5,0)\ \ \text{and}\ \ (-1,0)[/tex]
Plotting the x-intercepts, and finding the y-intercept
[tex]\to F(0)= -5\\\\[/tex]
So, the plot is "-5"
Find out more information about the graph function here:
brainly.com/question/15165011
