Parent function: y = f(x) = x^2
given function: y = g(x) = 3 (x+1)^2
=> g(x) = 3 * f(x + 1)^2
So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.
Answer:
No complex roots; 3 real roots
Step-by-step explanation:
If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots. In this particular case, the polynomial has three real roots, as can be determined by graphing the function. The graph crosses the x-axis in 3 places.
Answer:
y = 18 + 0.50x
Step-by-step explanation:
I think that is the answer.
To find the volume of each prism, you will multiply the length by the width by the height.
V = lwh
3 3/4 x 3 x 3 1/4
V = 36 9/16 cubic feet
V = lwh
1/4 x 1/4 x 1/4
V= 1/64 cubic feet
Both boxes are similar in that they can be described as a rectangular prism.
They are different because one prism has congruent edges, so we call it a cube. The other one has varying side lengths, therefore it is only a rectangular prism.
Answer:
450 x 15 = 6750 ft 2
Step-by-step explanation: