Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 4 to 6 in increments of 1. The y-ais ranges from negative 8 to 4 in increments of 1.

Identify one of the zeros (or x-intercepts) on the graph.

(1 point)
Responses

(0,2)
left parenthesis 0 comma 2 right parenthesis

x=1.5
x equals 1.5

(0,−4)
left parenthesis 0 comma negative 4 right parenthesis

(4,0)

1 answer

To identify a zero (or x-intercept) on the graph of the parabola, you need to find a point where the graph intersects the x-axis. Zeros are points where the y-coordinate is zero.

The options provided are:

  1. (0, 2)
  2. x = 1.5
  3. (0, -4)
  4. (4, 0)

Among these options, the point (4, 0) indicates that the y-coordinate is zero, which means it is a zero (or x-intercept) of the parabola.

So, the correct answer is (4, 0).