Struggling with explaining and doing this question help asap

Question

Y= | -2(x-1)² +5 |

Answer 1

I guess you're supposed to graph this and explain how you did it.

 

Starting with y = -2(x-1)²+5, that is a parabola with

 

vertex (1, 5)

[y = a(x-h)²+k has vertex (h, k).]

opening downward so that it passes through points (0, 3) and (2, 3)

[a = -2, so a < 0, so it opens downward, and points 1 unit away from the vertex in the x-direction will be 2 units below in the y-direction.]

y-intercept (0, 3)

[The y-intercept is where x = 0.  Plug that in and find the corresponding y.]

x-intercepts (1+√(5/2), 0) and (1-√(5/2), 0)

[The x-intercepts are where y = 0.  Plug that in and solve for x.]

 

As with that other one I discussed, graph this lightly, and flip the parts below the x-axis to get the graph of

 

y = |-2(x-1)²+5|

 

[You should get like a W shape and be able to explain why.]