Question

PLS ANSWER ASAP NO WRONG ANSWERS

Answer 1

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

Answer 2

Answer:

Step-by-step explanation:

The clearly identifiable one is at (0,-1) and the other intersection point is at (0.75, 1.25). You get it by solving

4x^2 -1 = 3x-1. One of the solutions is x = 0 and another is x = 0.75. Plug them both in to any of the original equations and get y = -1 or 1.25 respectively.