Identify the parts and graph a parabola

The video tutorial covers finding the vertex, axis of symmetry, y-intercept, maximum or minimum, and the domain and range of a quadratic function. It explains how to calculate the axis of symmetry and vertex, graph the parabola using a table of values, determine the maximum or minimum value, find the y-intercept, and establish the domain and range. The tutorial includes step-by-step calculations and graphing techniques to help students understand the properties of quadratic functions.

What is the formula for finding the axis of symmetry in a quadratic equation?

• x = -c/2a

• x = c/2a

• x = b/2a

• x = -b/2a

When graphing a quadratic function, why is it important to choose points around the vertex?

• To visualize the symmetry of the parabola

• To calculate the y-intercept

• To find the maximum value

• To determine the slope of the line

How can you correct errors when calculating y-values for a quadratic function?

• By using a different formula

• By checking the symmetry of the graph

• By ignoring the vertex

• By changing the axis of symmetry

What determines whether a quadratic function has a maximum or minimum value?

• The x-coordinate of the vertex

• The sign of a

• The value of c

• The value of b

What is the y-intercept of a quadratic function?

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

• The lowest point on the graph

• The highest point on the graph

What is the domain of a quadratic function?

• Numbers between -1 and 1

• Only negative numbers

• Only positive numbers

• All real numbers

What is the range of a quadratic function with a maximum value of 3?

• From 3 to positive infinity

• From -3 to 3

• From negative infinity to 3

• From 0 to 3