Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
Answer:
Rounded to the nearest tenth they are -14.5 and 12.5
Step-by-step explanation:
The zeros of a function are the x-intercepts or roots where the function crosses the x-axis. To find them, graph the function x^2 +2x-180 and zoom in on the x-axis.
See attached picture.
Answer:
4th term is 274.4 cm
5th term is 192.08 cm
Step-by-step explanation:
Here, we want to get the 4th and 5th term
Let us get the common ratio;
That would be ;
392/560 = 560/800 = 0.7
The 4th term will be ar^3
= 800 * 0.7^3 = 274.4
The 5th term will be ar^4
= 800 * 0.7^4 = 192.08
C. Euclid is known as the father of Geometry