Answer:
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:
f(x) = 4x^2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
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.
T= -2
It is really simple, just subtract positive 7 from 5 in order to get T alone and get -2
Answer: 8 , 60 , 23.3
Step-by-step explanation: 2/3 x 12 = 8
3 of 20 = 60
10/9 x 21 = 70/3 = 23.3
Answer: y = 3x - 1
Step-by-step explanation:
the line crosses the y axis at -1 and the x axis less than 1 .
y = 3x - 1
y = 0 - 1
y intercept = -1
0 = 3x - 1
3x = 1
x intercept = 1/3
Some things you need to know:
1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.
2) When two lines are parallel, the slopes are the same.
3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
example: 3/4 --> -4/3.
3/4 * -4/3 = -12/12 = -1
4) To find the value of b, substitute the point into the equation.
5) Convert the equation to slope y-int. form to find the slope.
6) When a line has an undefined slope, the slope y-int. will look either like
y = __ (forms horizontal line) or x = __ (forms vertical line).
To find the perpendicular of these lines, turn y to x / x to y.
To find the value of __, look at the point located in the line, so if x = ___
passes through (5,3), then x = 5 because x = 5 in the point. So the
equation would be x = 5.
Use online practice tests and other sources if you don't understand.