The graphs below have the same shape. what is the equation of the blue graph?

OPTION B

Step-by-step explanation:

The red graph shows the parent function of a quadratic function (which is the simplest form of a quadratic function), whose vertex is at the origin.

The function g(x) is the result of shift the parent function 2 units to the right and shift it 1 unit up.

Therefore, keeping the above on mind you have that the transformation has the following form:

Where the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

Therefore, you obtain the function:

B.

Step-by-step explanation:

The equation of the red graph is .

The blue graph has its vertex at (2,1)

Hence its equation is of the form;

This graph has y-intercept (0,5).

The blue graph therefore has equation;

.mp4 files, because, video

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3