Answer:
the first one is the second one
the second one is the third one
Answer:
A
Step-by-step explanation:
Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.
The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Answer:
...
Step-by-step explanation:
Answer:
(0, 6)
explanation:
- original coordinates of C: (5, -6)
if reflected over x-axis, then use the formula: (x,y) → (x, -y)
then if translated -5 horizontally, there will be change in x axis
- new coordinates: (5-5, 6) → (0, 6)