We will see that g(x) is a reflection across the y-axis of f(x), then:
By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).
So we can write:
g(x) = f(-x)
Here we know that:
Then, replacing f(x) on the formula for g(x), we get:
That is the function g(x) shown in the figure.
If you want to learn more about transformations:
#SPJ1
Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
