Please help me and find the vertex, I'm almost done with this test, just going insane over it

The vertex is (5,-7)

Step-by-step explanation:

Here, we want to get the vertex

Mathematically, we have the vertex form as

y = a(x-h)^2 + k

With the function given;

h = 5

k = -7

So, the coordinates of the vertex is (h,k) = (5,-7)

angles 1 and 3 are vertical angles, meaning that they are equal to each other. to solve this you may set angle 1 and 3 equal to each other and just solve for x like

110 = 2x + 10

100 = 2x

50 = x

check:

110 = 2* 50 + 10

110 = 100 + 10

110 = 110

hope this !

~just a girl in love with shawn mendes