To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
Answer:
15 m and 24 m
Step-by-step explanation:
Let x represent the length of the longer side. Then 5/8x is the shorter side and the difference is x -5/8x = 3/8x.
You say the difference is 9 m, so ...
... 3/8x = 9 m
... x = (8/3)(9 m) = 24 m . . . . longer side
and the shorter side is (5/8)(24 m) = 15 m. . . . . shorter side
Answer:
x=-3
Step-by-step explanation:
If a parabola has a vertex at (h,k), the axis of symmetry is at the point, x=h.
That is, <u>the x-coordinate of the vertex of the given parabola is the axis of symmetry.</u>
Therefore, for a parabola with vertex (-3,2), the axis of symmetry is at x=-3
For pyramids, the volume is defined by the product of the base area and height divided by 3. Or, V =
Where B = area of the base and h = the height of the pyramid.
For the figure above:
B = 16 in²
h = 6 in
V = 32
