For the function y equals 3x2 + 18x + 24 find the x intercept the y-intercept the verdicts and the axis of symmetry using a graphing calculator
To find the x-intercept, y-intercept, axis of symmetry, and vertex using a graphing calculator, you can follow these steps:
Step 1: Enter the function into the graphing calculator. For this function, y = 3x^2 + 18x + 24, enter it as y = 3x^2 + 18x + 24 in the calculator.
Step 2: Graph the function by pressing the "graph" button on your calculator.
Step 3: To find the x-intercepts (zeros) of the function, observe where the graph intersects the x-axis. These points represent the x-intercepts. Record the x-values of these points.
Step 4: To find the y-intercept, observe where the graph intersects the y-axis. Record the y-value of this point.
Step 5: To find the axis of symmetry, locate the vertical line that divides the graph into two symmetrical halves. The equation of this line will be of the form x = a, where a is the x-value of the line. Record the equation of the axis of symmetry.
Step 6: To find the vertex, observe the highest or lowest point on the graph. This point represents the vertex. Record the coordinates of the vertex (x, y).
By following these steps, you can utilize your graphing calculator to find the x-intercept, y-intercept, axis of symmetry, and vertex of the given function.