Draw the line of reflection that reflects △abc onto triangle δ a'b'c'

 Line of reflection is y = 2 x + 2

Step-by-step explanation:

By the given diagram,

A≡(2,1) A'≡(-2,3), B≡(5,2) and B'≡(-3,6),

Since, the midpoint of the corresponding vertices of a figure and its reflected figure must lie on the line of reflection.

Here, Δ ABC is reflected onto triangle Δ A'B'C' through this line,

Let, P is the mid point of AA'

⇒

Similarly, Q is the mid point of BB'

⇒

Thus, by the above statement,

P and Q are lie on the line of the reflection,

Thus, the equation of the line of reflection,

⇒

⇒

⇒

Which is the required line of reflection.

step-by-step explanation:

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )