C is correct,
A is wrong as it halves both the angles and lengths by two which is the same as what she did in the first place so it cannot be correct.
B is also wrong for a similar reason, a triangle cannot have less than 180 degrees, which is impossible as the angles just change naturally which is why all triangles must have 180 degrees, which is the reason she is wrong in the first place.
And D is just incorrect, if she wanted to have shorter sides she should have only decreased all the lengths as it the the ratio of angles that determine the shape of a triangle while the sum of all angles is 180 degrees.
The y-intercept of the line would change but the slope would not.
Slope is the rate of change of a line. If the y-values all decrease the same amount, the rate that the line is changing will not change. For example, let's take the points (5, 6) and (3, 2). The slope is given by (6-2)/(5-3) = 4/2 = 2. Now let's decrease the y-coordinates all by 2:
(5, 4) and (3, 0)
The slope now would be (4-0)/(5-3) = 4/2 = 2.
By changing the y-values the same amount, the amount of difference between them stays the same, and so does the rate of change of the line.
Since we shifted the y-values down, however, this moves the line down on the graph, which will change the y-intercept.
Answer:
The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:
500 = 4 * b³
125 = b³
b = 5 so the answer is f(x) = 4 · 5ˣ.
