Question

Which graph correctly solves the system of equations below? y = x2 + 2x + 3 y = −x2 + 3 two quadratic graphs opening up. They intersect at 0, 3. two quadratic graphs opening down. They intersect at 0, 3. quadratic graph opening up and quadratic graph opening down. They intersect at 1, 4 and 0, 3. quadratic graph opening up and quadratic graph opening down. They intersect at negative 1, 2 and 0, 3.

Answer 1

Quadratic graph opening up and quadratic graph opening down. They intersect at negative 1, 2 and 0, 3.

Explanation:

The equations are;

`y=x^2+2x+3\\\\\\y=-x^2+3`

Graph the equation on a graph tool as attached to visualize the results

From the graph;

• The first graph opens up and intersect y-axis at y=3
• The second graph opens down and intersect y-axis at y=3
• The graphs intersect at (-1,2) and (0,3)