Answer:
D. F(x) = 2(x-3)^2 + 3
Step-by-step explanation:
We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)
We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.
The graph of F(x) shown is facing up, so we know that it is multiplied by a positive number. This means we can eliminate A and C because they are both multiplied by -2.
Our two equations left are:
B. F(x) = 2(x+3)^2 + 3
D. F(x) = 2(x-3)^2 + 3
Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.
y = 2(3+3)^2 + 3 =
2(6)^2 + 3 =
2·36 + 3 =
72 + 3 =
75
That one didn't give us a y value of 3.
y = 2(3-3)^2 + 3 =
2(0)^2 + 3 =
2·0 + 3 =
0 + 3 =
3
This equation gives us an x-value of 3 and a y-value of 3, which is what we wanted, so our answer is:
D. F(x) = 2(x-3)^2 + 3
Hopefully this helps you to understand parabolas better.
Answer:
correct ordered pair ( 4 , 1 ).
Step-by-step explanation:
Given : 3y=x-1 and x-2y=2.
To find : Use the elimination method to solve the system of equations.
Solution : We have given that
3y = x - 1 ------(1)
x - 2y = 2--------(2)
On subtracting x from both sides from equation 2.
-2y = -x + 2 --------(2)
Now adding equation 1 and 2
3y = x - 1 ------(1)
-2y = -x + 2 --------(2)
____________
y = 0 + 1
y = 1.
Now plug the value y = 1 in equation 1
3 (1) = x - 1.
3 = x - 1.
On adding both sides by 1
3 +1 = x
x = 4.
Pairs ( 4 , 1 )
Therefore, correct ordered pair ( 4 , 1 ).
b. partitioning.
c. factoring.
d. replicating.
Answer:
replicating
Step-by-step explanation:
Answer:
there are 5280 feet in a mile
Step-by-step explanation:
ANS:
7x
EXTRA WORKING SPACE:
Answer:
The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
Step-by-step explanation:
We know that the slope-intercept form is
Where m is the slope and b is the y-intercept
Given the equation
comparing with the slope-intercept form
slope = m = -5
y-intercept = b = 2
We know that the parallel lines have the same slopes.
so, the slope of the parallel line will be: -5
Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
Answer:
y=-x+2
Step-by-step explanation:
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