Question

Determine the equation of the graph with the coordinates of (4, -1)

Answer 1

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

• $y=\left(x-4\right)^2-1$

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only $y=\left(x-4\right)^2-1$ is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

$y=\left(x-4\right)^2-1$

$\left(-1\right)=\left(4-4\right)^2-1$

$-1=\left(0\right)^2-1$

$-1=0-1$

$-1=-1$

So, the equation $y=\left(x-4\right)^2-1$ is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

• $y=\left(x-4\right)^2-1$

Please check, the graph is also attached.