Exploring Graphing Quadratic Functions

What is the standard form of a quadratic equation?

• y = ax + b^2 + c

• y = a^2 + bx + c

• y = ax^2 + bx + c

• y = mx + b

In a quadratic equation, what does the 'a' coefficient determine?

• The y-intercept

• The slope of the line

• The direction the parabola opens

• The x-intercept

What is the vertex of a parabola?

• The point where the graph crosses the y-axis

• The midpoint of the graph

• The highest or lowest point on the graph

• The point where the graph crosses the x-axis

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

• x = a/2b

• x = -b/2a

• x = b/2a

• x = -a/2b

How do you determine if a parabola opens upwards or downwards?

• By the value of the 'c' constant

• By the value of the vertex

• By the sign of the 'a' coefficient

• By the value of the 'b' coefficient

What is the significance of the axis of symmetry in a parabola?

• It determines the y-intercept

• It divides the parabola into two symmetrical halves

• It determines the x-intercept

• It is the highest point on the graph

When using a graphing calculator, what is the first step to graph a quadratic function?

• Calculate the vertex

• Identify the x-intercepts

• Enter the quadratic equation into the calculator

• Find the y-intercept

What does the domain of a quadratic function represent?

• The lowest point on the graph

• All possible y-values

• All possible x-values

• The highest point on the graph

How do you determine the range of a quadratic function?

• By identifying the vertex and the direction the parabola opens

• By finding the x-intercepts

• By finding the y-intercept

• By calculating the axis of symmetry

What happens to the width of a parabola as the 'a' coefficient increases?

• It becomes wider

• It becomes narrower

• It remains the same

• It shifts to the right