Consider the graph of the following quadratic function. the equation of the quadratic function is repersented by this graph is y=a(x-3)^2-1.what is the value of a?

a = 2

Step-by-step explanation:

One easy approach is as follows:

We see that (2, 1) is a point on the graph.

Substituting this into the equation gives:

1 = a(2-3)^2 - 1.

Solving:

1 = a x(-1)^2 -1

1 = a - 1

2 = a

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

d. you cannot tell because there are no values shown.