QuestionIdentify a key property of the linear parent function: A. Curved line B. Slope = 0 C. In quadrants I & III D. Passes through origin.
Studdy Solution
STEP 1
Assumptions1. We are dealing with the linear parent function, which is the simplest form of a linear function and is represented by the equation y = x. . We understand the basic properties of linear functions, including their shape, slope, and position on a coordinate plane.
STEP 2
Evaluate each of the given options based on our understanding of the linear parent function.
Option A It is a curved line.
This is incorrect. The linear parent function, y = x, is a straight line, not a curved line.
STEP 3
Option B It has a slope of0.
This is incorrect. The slope of the linear parent function, y = x, is1, not0. A slope of0 would result in a horizontal line.
STEP 4
Option C It is in quadrants I and III.
This is correct. The linear parent function, y = x, passes through the origin and extends into both the first () and third (III) quadrants of the coordinate plane.
STEP 5
Option D It does not go through the origin.
This is incorrect. The linear parent function, y = x, does pass through the origin (0,0).
The correct answer is Option C It is in quadrants I and III.
Was this helpful?
