Solve the system of equations below by graphing. x^2-2x+y-3=0 x^2+y=0 what is the solution rounded to the nearest hundredth? (–2.25, –1.5) (–1.5, –2.25) (–0.82, –0.68) (–0.68, –0.82)

ANSWER

The correct answer is B

EXPLANATION

The first function is

We make y the subject to obtain;

Let us quickly write this in the vertex form.

Since the is negative, the graph opens up.

The vertex is at

The y-intercept is

The x-intercept is found by equating the function to zero.

With these information we can quickly sketch the graph as shown in the attachment(the red graph).

For the second function,

we again make y the subject to obtain,

This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.

From the graph the solution to the two functions is

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3