Answer: 2.
Step-by-step explanation: Both lines intersect each other 2 times.
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
Answer:
C f-1 (x) = x- 2
Step-by-step explanation:
The inverse is usually shown by putting a little "-1" after the function name, and reversing the units.
Answer:
to go from dilation S to dilation T
my work:
(2,3) of dilation S
(4,6) of dilation T
In order for 2 to become 4, you multiply by two.
In order for 3 to become 6, you multiply by two.
ANSWER:
A.
(x,y) --> (2x,2y)
