Question

Select the graph of the equation below. y=-1/4x^2+1

Answer 1

Answer:

Take a look at the graph. Attached

Step-by-step explanation:

Let me draw the graph of the function y = -1/4x^2 + 1

Here the given graph is quadratic. Here a = -1/4 which is negative, therefore,

the graph open down word.

Here the y-intercept is 1, therefore, the graph cuts the y-axis at y = 1.

Now let's find the x-intercepts.

To find the x-intercepts, plug in y =0

0= -1/4x^2 + 1

1/4x^2 = 1

x^2 = 4

Taking the square root on both sides, we get

x = 2, -2

Therefore, the x-intercepts are (2, 0) and (-2, 0)

Using this information, we can draw the graph.

Please have a look at the graph.