Graphing a quadratic function in standard form

The video tutorial explains how to graph a quadratic equation with a fractional coefficient. It covers finding the axis of symmetry, creating a table of values, calculating specific points, and analyzing the graph to identify key features such as the vertex and intercepts. The tutorial emphasizes the impact of fractions on the graph and provides step-by-step instructions for plotting and reflecting points.

What is the significance of the fraction in the quadratic equation y = 3/2x^2 - 3x + 2?

• It has no effect on the graph.

• It changes the vertex of the parabola.

• It affects the steepness of the parabola.

• It determines the direction of the parabola.

How do you find the axis of symmetry for the quadratic equation?

• By using the formula x = -b/2a.

• By setting y to zero and solving for x.

• By calculating the average of the y-values.

• By finding the midpoint of the x-intercepts.

Why is it beneficial to choose points to the left and right of the axis of symmetry?

• To determine the y-intercept.

• To calculate the slope of the graph.

• To find the maximum point of the graph.

• To ensure the graph is symmetrical.

What is the vertex of the quadratic equation y = 3/2x^2 - 3x + 2 when x = 1?

• (0, 2)

• (1, 1/2)

• (1, 2)

• (1, 0)

How do you determine the y-coordinate of the vertex?

• By using the formula y = -b/2a.

• By setting x to zero in the equation.

• By substituting the x-coordinate of the axis of symmetry into the equation.

• By finding the average of the x-intercepts.

What is the y-intercept of the quadratic equation y = 3/2x^2 - 3x + 2?

• (0, 0)

• (0, 1)

• (0, 2)

• (0, 3)

Why does the graph of the equation y = 3/2x^2 - 3x + 2 not have any x-intercepts?

• Because the vertex is a maximum point.

• Because the vertex is the lowest point and the graph opens upwards.

• Because the equation is not quadratic.

• Because the graph opens downwards.