Question

Which graph can be used to find the solution(s) to x2 – 1 = 3?

Answer 1

Answer:

We have to find the graph that can be used to find the solution of :

$x^2-1=3$

We are given an inequality we can equate this equality to a new variable 'y' such that:

$x^2-1=3=y$

i.e. we get a system of equations as:

$y=x^2-1$

and $y=3$

Hence, the solution will be the x-value of the point of intersection of the system of equations.

The point of intersection are:

(-2,3) and (2,3).

Hence, the solution of the equation is:

x=2 and x= -2.

Answer 2

Answer:

Step-by-step explanation:

x² - 1 = 3

This equation is in the form of y = x² - 1, which is a quadratic equation.

If y = 3

x² - 1 = 3

x² = 3 + 1

x² = 4

x = ±√4

x = ±2

For x = +2 and -2 value of y is the same as 3.

That reveals the graph is symmetrical about y axis and passes through (2, 3) and (-2, 3).

Moreover this, vertex of the parabola will be (0, -1).