Question

help!
1.
Let f(x)=x^2+1
Let g(x)=(x+2)^2+1
Which statement describes the graph of g(x) with respect to the graph of f(x)?
A. It is translated up 2 units.
B. It is translated down 2 units.
C. It is translated right 2 units.
D. It is translated left 2 units.

2.
The graph shows a system consisting of a linear equation and a quadratic equation.
What is the solution(s) to the system?
A. (4, 5) only
B. (1, 8) only
C. (1, 8) and (4, 5)
D. This system has no solution.

Answer 1

1. ,
 2 is added to every x
that means it is moved to the left  2 units
D



2. so see the intersesection points
answer is C

Answer 2

Answer:

1. D. It is translated left 2 units.

2. (1, 8) and (4, 5)

Step-by-step explanation:

1.

We have been given that

$f(x)=x^2+1\\g(x)=(x+2)^2+1$

Transformation Rule:-

When we add some constant 'a' in the x values then the graph will shift left by 'a' units.

Here we can see that 2 has been added in x. Hence, the graph will translated left by 2 units.

Thus, D is the correct option.

2.

We have been given the graph and we have to find the solution (s) of the system.

The intersection point (s) of the graph of the curves is the solution of the system of equation.

Here, the intersection points are (1,8) and (4,5).

Hence, the solutions are  (1, 8) and (4, 5)