Math Skills: Graphing Functions

Plot the graph of the function y = 2x + 3

• The graph of the function y = 2x + 3 is a parabola

• The graph of the function y = 2x + 3 is a hyperbola

• The graph of the function y = 2x + 3 is a straight line passing through the points (0, 3) and (1, 5).

• The graph of the function y = 2x + 3 is a circle

Graph the equation y = -x^2 + 4x - 3

• The graph is a straight line passing through the points (0, -3), (1, 0), and (3, 0)

• The correct graph of the equation y = -x^2 + 4x - 3 is a downward-opening parabola passing through the points (0, -3), (1, 0), and (3, 0).

• The graph is a circle with center at (0, 0) and radius 3

• The graph is a sinusoidal wave with amplitude 4 and period 3

Draw the graph of the linear function y = -0.5x + 2

• Graph plotted with y-intercept at (0, 1) and another point at (2, 2)

• Graph plotted with y-intercept at (0, 2) and another point at (2, 1)

• Graph plotted with y-intercept at (0, 0) and another point at (2, 1)

• Graph plotted with y-intercept at (0, 2) and another point at (2, 3)

Sketch the graph of y = 3x^2 - 6x + 1

• The graph is a parabola that opens upwards, with the vertex at (1, -2).

• The graph is a hyperbola with asymptotes at x = 0 and y = 0.

• The graph is a straight line passing through the origin.

• The graph is a circle centered at (0, 0).

Plot the function y = 4 - x^2

• y = 4 / x^2

• Explanation provided.

• y = 4 * x^2

• y = 4 + x^2

Graph the equation y = 0.5x - 1

• The graph of the equation y = 0.5x - 1 is a straight line passing through the points (0, -1) and (2, 0).

• The graph of the equation y = 0.5x - 1 is a parabola.

• The graph of the equation y = 0.5x - 1 is a circle.

• The graph of the equation y = 0.5x - 1 is a hyperbola.

Draw the graph of y = x^3 - 2x^2 + x

• The graph of y = x^3 - 2x^2 + x will have a local maximum at (2,2) and a local minimum at (4,-4).

• The graph of y = x^3 - 2x^2 + x will have a local maximum at (0,0) and a local minimum at (1,-1).

• The graph of y = x^3 - 2x^2 + x will have a local maximum at (1,1) and a local minimum at (3,-3).

• The graph of y = x^3 - 2x^2 + x will have a local maximum at (0,0) and a local minimum at (2,-2). It will pass through the origin (0,0) and the point (2,-2). The graph will be increasing to the left of x = 0, decreasing between x = 0 and x = 2, and increasing to the right of x = 2.

Sketch the graph of the quadratic function y = -2x^2 + 5x - 3

• The graph is an upward-opening parabola with the vertex at (-5/4, 3/8).

• The graph is a straight line passing through the points (0, -3), (1, 0), and (3, 6).

• The graph is a circle centered at (5/4, -3/8) with a radius of 2.

• The graph is a downward-opening parabola with the vertex at (5/4, -3/8).

Plot the function y = 1/x

• The plot of y = 1/x is a straight line passing through the origin

• The function y = 1/x has no plot

• The graph of y = 1/x is a parabola

• The correct way to plot y = 1/x is to draw a curve that starts in the second quadrant, passes through the origin, and extends into the fourth quadrant without touching the x-axis or the y-axis.

Graph the equation y = |x|

• The graph of the equation y = |x| is a V-shaped graph with the vertex at the origin.

• The graph of the equation y = |x| is a circle.

• The graph of the equation y = |x| is a parabolic curve.

• The graph of the equation y = |x| is a straight line passing through the origin.