Answer:
No.
Step-by-step explanation:
Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k. Here, h denotes horizontal translation and k denotes vertical translation. Translation to the left by 2 units would be (x + 2)^3 + 7. Translation to the right by 2 units would be (x - 2)^3 + 7. So, no, Tia's description of horiz. translation is incorrect.
However, her adding 7 does denote a positive vertical translation.
Answer:
The vertex is (0, 0).
Step-by-step explanation:
Check out the parent function: y = x^2. The graph is a parabola whose vertex is (0, 0) and which opens upward.
Then y = -x^2 is the same but opens downward. The vertex is (0, 0).
The second equation equals: 3X +18y=60 (Both sides times 3)
And then use this new equation minus the first equation, you will get:
Left side: (3X +18y) - (<span>3x+6y)
Right side: 60-30
So 12y=30
Then y=2.5
Take y value into one of the three equations, you will get x=5
or
in another easier way:
Directly minus the second equation from the first one:
</span>(3x+6y) -(<span>X+6y)=10
</span>2X = 10
X = 5
Get Y is easy, Y=2.5
Answer:
g = 7/2
Step-by-step explanation:
-5 + 7g = 3g + 9
~Add 5 to both sides
7g = 3g + 14
~Subtract 3 to both sides
4g = 14
~Divide 4 to both sides
g = 14/4 or g = 7/2
Best of Luck!
