Graphing Quadratics: Intercepts, Vertex, and Axis of Symmetry

The video tutorial begins with a review of linear equations and transitions into graphing linear functions using the slope and y-intercept. It then introduces quadratic functions, explaining their u-shaped graphs called parabolas. The tutorial details how to find the vertex of a parabola using the axis of symmetry formula and demonstrates graphing quadratic functions without a calculator by plotting points around the vertex. The video concludes with a recap and mentions additional resources available on Instagram.

What does 'f(x)' represent in a linear function?

• The x-intercept

• The y-intercept

• The slope of the line

• The output or y-value

What shape does a quadratic function's graph typically have?

• A U-shape

• A straight line

• An S-shape

• A circle

What is the formula to find the axis of symmetry of a parabola?

• x = b / 2a

• x = -b / 2a

• y = -b / 2a

• y = b / 2a

How do you find the y-coordinate of the vertex in a quadratic function?

• Substitute x in the quadratic equation

• Multiply the coefficients a and b

• Add the coefficients a, b, and c

• Divide the coefficient c by a

What is the first step in graphing a quadratic function without a calculator?

• Finding the y-intercept

• Plotting random points

• Finding the x-intercepts

• Finding the vertex

What does the vertex of a parabola represent?

• The average of all points

• The point where it crosses the x-axis

• The point where it crosses the y-axis

• The highest or lowest point

How do you determine the axis of symmetry in a quadratic function?

• It's determined by the slope

• It's the same as the y-intercept

• It's the line that divides the parabola into two mirror images

• It's the horizontal line that touches the vertex

What role does the coefficient 'a' play in a quadratic function?

• Determines the direction of the parabola

• Has no significant role

• Determines the y-intercept

• Determines the x-intercepts

After finding the vertex of a quadratic function, what should you do next?

• Plot the vertex and find points around it

• Find the x-intercepts

• Calculate the slope

• Determine the y-intercept

What is the significance of the 'x = -b / 2a' formula in graphing quadratics?

• It calculates the area under the curve

• It calculates the slope of the parabola

• It determines the axis of symmetry

• It finds the y-intercept of the parabola