Key Features of Quadratic Functions Explored

This video tutorial covers key attributes of quadratic functions, including the axis of symmetry, vertex, x-intercepts, y-intercepts, domain, and range. The instructor uses Desmos to demonstrate graphing quadratic functions, focusing on the parent function f(x) = x^2. Students are encouraged to identify these attributes on given graphs.

What is the axis of symmetry in a quadratic function?

• A line parallel to the y-axis through the maximum point

• The point where the parabola meets the y-axis

• The highest point of the parabola

• A line that divides the parabola into two symmetrical parts

Where is the vertex located in a parabola that opens upwards?

• At the highest point

• At the lowest point

• At the point where it crosses the y-axis

• At the point where it crosses the x-axis

What does the maximum point of a parabola represent?

• The highest point on the graph

• The point where the parabola meets the x-axis

• The lowest point on the graph

• The point where the parabola meets the y-axis

How many x-intercepts can a parabola have?

• Three

• One

• Two

• It varies

What is the y-intercept of a quadratic function?

• The x-coordinate where the parabola crosses the y-axis

• The y-coordinate where the parabola crosses the x-axis

• The maximum point of the parabola

• The minimum point of the parabola

What is the domain of a quadratic function?

• All positive numbers

• Only integers

• All negative numbers

• All real numbers

What is the range of a quadratic function that opens upwards?

• All real numbers

• All positive numbers

• All non-negative numbers

• All negative numbers

What does the vertex represent in a quadratic function?

• The intersection point with the x-axis

• The intersection point with the y-axis

• The maximum or minimum point of the parabola

• The point where the parabola changes direction

Which axis does the axis of symmetry align with in the parent function of a quadratic?

• Neither

• x-axis

• Both x-axis and y-axis

• y-axis

What is the significance of the y-intercept in a quadratic function?

• It is where the maximum point is located

• It is where the vertex is located

• It is where the parabola crosses the y-axis

• It is where the parabola does not exist