Key Features of Quadratic Functions

What is the first step in identifying key features of a parabola?

• Finding the roots

• Determining the axis of symmetry

• Calculating the vertex

• Identifying the y-intercept

What does the axis of symmetry represent in a parabola?

• The point where the parabola crosses the y-axis

• The highest point of the parabola

• The solutions to the quadratic equation

• A vertical line dividing the parabola into two symmetrical halves

How is the vertex of a parabola determined?

• By finding the maximum or minimum point on the parabola

• Through the intersection points on the x-axis

• By calculating the midpoint of the y-intercept

• Using the coefficients of the quadratic equation

What is the significance of the number in the equation of the axis of symmetry?

• It indicates the y-coordinate of the vertex

• It represents the x-coordinate of all points on the axis

• It is the slope of the parabola

• It determines the direction the parabola opens

In a quadratic relation, what does the vertex represent?

• The point where the graph is widest

• The intersection point with the y-axis

• The maximum or minimum point of the parabola

• The point where the parabola changes direction

What distinguishes roots from x-intercepts in a quadratic relation?

• Roots are the y-values that make x = 0

• X-intercepts are the solutions to the equation when y ≠ 0

• Roots are the solutions to the equation when y = 0

• There is no difference between roots and x-intercepts

How is the y-intercept of a parabola found?

• By setting x = 0 and solving for y

• By finding the point where the parabola crosses the x-axis

• By determining the axis of symmetry

• Through the highest or lowest point of the parabola

How are the roots of a quadratic equation related to its graph?

• They are the y-values where the graph is symmetrical

• They indicate the highest points on the graph

• They represent the vertex of the parabola

• They are the x-values where the graph crosses the x-axis

What does the y-intercept of a quadratic function tell us?

• The maximum height of the parabola

• The point where the parabola crosses the y-axis

• The slope of the parabola

• The symmetry of the parabola

What tool can be used to find the roots of a quadratic equation graphically?

• A scientific calculator

• Desmos

• A ruler

• Algebraic manipulation