Answer :
Answer:
Both functions have a y-intercept of -2.
Step-by-step explanation:
The given equation is
[tex]y=3x-2[/tex]
This equation belongs to a linear function, which means its graph is a straight line, that means the second choice is wrong, beacuse the graph is a parabola, not a straight line.
Also, the parabola is a movement that increases and decreases at certain intervals, it has both behaviors, so the third choice is also wrong.
The symmetry of this parabola is about the y-axis, however, a linear function doesn't have the same symmetry, so the last choice is wrong.
Therefore, the first choice is the right answer, both function has the same y-intercept at -2.
Remember, in a linear function, the constant term represents the y-intercept.
The statement about both function which is true is option A. Both functions have a y-intercept of -2.
What is a y-intercept?
In mathematics and specifically in the context of linear equations, the y-intercept refers to the point where a line intersects the y-axis on a Cartesian coordinate system. It is the value of the dependent variable (usually represented as "y") when the independent variable (usually represented as "x") is equal to zero.
In the slope-intercept form of a linear equation, which is commonly written as y = mx + b, where "m" represents the slope of the line and "b" represents the y-intercept. The y-intercept indicates the initial value or the constant term in the equation. It determines the vertical position of the line on the y-axis when x is zero.
For example, in the equation y = 3x -2, the y-intercept is -2. This means that the line intersects the y-axis at the point (0, -2). The y-coordinate is -2, indicating that when x is zero, the value of y is -2.
Understanding the y-intercept is essential in analyzing linear equations, plotting graphs, and interpreting their behavior in relation to the y-axis.
learn more about y-intercept: https://brainly.com/question/25722412
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