Question

Which system of equations does this graph represent?

A. y = x^2 − 6
y = −x − 4


B. y = x^2 + 6
y = x + 4


C. y = x^2 + 4
y = −x + 4


D. y = x^2 − 6
y = x − 4

Answer 1

5

Explanation:

.

.

.

Answer 2

Option D

y = x^2 − 6

y = x − 4

Explanation:

we know that

The y-intercept of the quadratic equation is the point (0,-6) (see the graph)

Could be option A or option D

The y-intercept of the linear equation is the point (0,-4) and the x-intercept is the point (4,0)

Could be option D

therefore

The system of equations is the option D

Verify

`y=x^(2)-6`

`y=x-4`

using a graphing tool

see the attached figure

The system of equations is the option D