Question

Which graph represents the system of equations?

y=2x
y=x^2+1

Answer 1

Option D is the correct answer.

Step-by-step explanation:

The given system of equations are $y=2x$ and $y=x^{2} +1$

To plot the equations in the graph, if we know the values of x and y coordinates.

To plot the equation $y=2x$ in the graph, let us substitute the value for x to find the value of y-coordinate.

For, $x=0$ ⇒ $y=0$

For, $x=1$ ⇒ $y=2$

For, $x=2$ ⇒ $y=4$

Similarly, to plot the equation $y=x^{2} +1$, let us substitute the value for x,

For, $x=0$ ⇒ $y=1$

For, $x=1$ ⇒ $y=2$

For, $x=2$ ⇒ $y=5$

These values are plotted in the graph. The graph that represents the system of equations is attached below.

Thus, the correct answer is option D.

Answer 2

Answer:

d

Step-by-step explanation: