Question

Can you guys graph a system of equations and make sure it has two parabolas with the same vertex and a line that crosses the same vertex of the 2 parabolas. Thanks will mark brainliest

Answer 1

Answer:

Sketch the following three graphs:

1) y = (x - 5)²

2) y = -(x - 5)²

3) y = x - 5

First two are parabolas with vertex at (5,0)

Third one is a line which intersects both the parabolas as (5,0)

Answer 2

Step-by-step explanation:

Step 1:  Make a system of equations

The easiest place to place the parabolas are at the origin or (0, 0).  So, the parabolas are going to have an equation similar to y = x^2.  The line that crosses the same vertex of the 2 parabolas is going to be y = 0 because both of the parabolas vertex is going to be at (0, 0).

y = 0 is the line

y = x^2 is one of the parabolas

y = 2x^2 is another one of the parabolas

Look at the graph below