Use the function f(x) to answer the questions:

f(x) = 4x2 − 7x − 15

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points

A. f(x) = (4x+5)(x-3)

              B. Since +4 > 0, the graph opens up

             as always, the vertex is at x = -b/2a = 7/8

             C. plot the vertex at (7/8, -18 1/16)

           pick a point or two, say at x=0,1,2 and plot them. then draw a curve           through them.

Step-by-step explanation:

sites:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!