Question

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

x=1.5
x equals 1.5

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

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

(0,2)

1 answer

To identify one of the zeros (or x-intercepts) of the parabola, we are looking for the point where the graph intersects the x-axis. The x-intercept is generally noted as a coordinate of the form (x, 0), meaning that the y-value is 0.

Given the options:

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

The only option that represents a point on the x-axis (where y = 0) is:

(4, 0)

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