X=45
y=-8
check if this work
Pretty sure ( -2,-7) because from -1 you go over one then each y is going down 3 so -4 - 3 is -7
Answer:
Step-by-step explanation:
(King of Diamonds) = 1/52
(A Heart) = 1/4
(Red Three) = 1/26
(Red Card) = 1/2
I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:
(0-1)^2=4p(16-20)
Solving for p, p=-1/16.
Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:
(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1
Here, we have two values of x
x=sqrt(5)+1 and
x=-sqrt(5)+1
thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.
The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.
The answer is D. translation, then reflection.
