Question

Parabola A can be represented using the equation (x + 3)2 = y, while line B can be represented using the equation y = mx + 9. Isabel claims one solution to the system of two equations must always be the vertex of parabola A. Which best describes the reasonableness of her claim?

Answer 1

Answer:

A) As we see Isabel is correct because the y-intercept of line B is  ( 0 , 9 )  and the value of  y  when  x= 0  in parabola A is  9

Step-by-step explanation:

Parabola A:  y = ( x + 3 ) 2

Line B:  y = m x + b

The equation of a line in slope-intercept form is given by: y=mx+b  it means the y-intercept of the line B is:  (0,b) = (0,9)

Now, if x=0, the value of y in parabola A will be:

y = ( x + 3 )^ 2

y=(0+3)^2

y=9

Making A the correct option