Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
Answer:
Step-by-step explanation:
Putting value of n = - 8 in the equation
F(n) = 2n− 5
F(-8) = 2(-8) - 5
= - 16 - 5 = - 21
Answer:
25/12 square feet
Step-by-step explanation:
The area of a rectangle can be found using the formula A=l*w. Here l = 5/4 and w=5/3. Substitute the values into the formulas.
A=l*w
A=(5/4)(5/3)
A=25/12 square feet
Words to the wise: Please express exponentials as x^2, not x2.
x2 + y2 = 81 should be <span>x^2 + y^2 = 81 = 9^2
Comparing this to x^2 + y^2 = r^2, we see that r= radius=9. y-intercepts are where x=0, so purposely set x=0 and solve for y:
0^2 + y^2 = 9^2. Then y = 9 or y = -9.
The graph intersects the y-axis at (0,9) and (0, -9).</span>