Question

PLEASE HELP MEWhich equation can represent the graph

A. Y=-x^2-4
B. Y= -x^2+4
C. Y=x^2+4
D.y=x^2-4

Answer 1

B. y = - x²+4

Explanation:

I used a calculator to check.

Answer 2

y = - x^2 + 4

which agrees with answer B

Explanation:

Notice the graph is that of a quadratic function centered on the y-axis, with negative leading coefficient (branches of the parabola pointing down), and with vertex on the y-axis at the point (0, 4).

Therefore its equation is best represented by:

y = - x^2 + 4

which also crosses the x axis at the points x = -2 and x= 2, in agreement with the graph.