Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
33. 12*3=36 the u add 6 so it becomes 42. 3^2 is 9 so if u subtract 9 from 42 it becomes 33.
The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:

so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form

and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Answer:
Step-by-step explanation:
Given that cesar left the college traveling 12 mph. Then, 4 hours later, Gabriel left traveling the same direction at 24 mph.
Before Gabriel started Cesar would have travelled for 4 hours
So distance travelled by Cesar in 4 hours 
Thus Cesar is ahead of Gabriel by 48 miles
Difference of speed 
So to catch Cesar time required = 48/difference in speed
= 4 hours
It will take 4 hours.
Answer:
x = -2
Step-by-step explanation:
The segments described in the question are equidistant (meaning they are the same length). Therefore, using algebraic techniques, we can set these two equal to each other and solve for x.
4x - 8 = 6x - 4 Combine like terms by subtracting 6x from both sides.
-2x - 8 = -4 Combine like terms by adding 8 to both sides.
-2x = 4 Divide by -2 on both sides of the equation.
x = -2