Understanding Quadratics in Factored Form

The video tutorial explains how to graph quadratic equations in factored form. It covers identifying key features of a parabola, such as x-intercepts, axis of symmetry, vertex, and y-intercept. The tutorial provides step-by-step instructions for graphing these features and includes an advanced example with a leading coefficient, demonstrating how it affects the graph's shape and orientation.

What is the general shape of a quadratic function in factored form?

• A circle

• A straight line

• A hyperbola

• A parabola

How do you find the x-intercepts of a quadratic equation in factored form?

• Set the equation equal to one

• Use the quadratic formula

• Set each factor equal to zero

• Find the derivative

What is the axis of symmetry for a parabola with x-intercepts at 1 and -3?

• x = -2

• x = 2

• x = -1

• x = 0

Where is the vertex of a parabola located in relation to the axis of symmetry?

• Above the axis

• On the axis

• To the right of the axis

• To the left of the axis

How can you find the y-coordinate of the vertex using the equation?

• By setting y to zero

• By using the quadratic formula

• By substituting the x-coordinate of the axis of symmetry

• By finding the average of the x-intercepts

What is the y-intercept of a quadratic function?

• The point where the graph crosses the y-axis

• The lowest point on the graph

• The point where the graph crosses the x-axis

• The highest point on the graph

How do you determine the y-intercept of a quadratic equation?

• Set x to zero in the equation

• Find the average of the x-intercepts

• Set y to zero in the equation

• Use the quadratic formula

What effect does a negative leading coefficient have on the graph of a quadratic?

• It stretches the graph vertically

• It flips the graph upside down

• It shifts the graph to the left

• It shifts the graph to the right

How does a vertical stretch affect the graph of a quadratic?

• It shifts the graph downwards

• It makes the graph wider

• It makes the graph narrower

• It shifts the graph upwards

What pattern do the points on a parabola follow?

• They increase by odd numbers

• They decrease by even numbers

• They decrease by odd numbers

• They increase by even numbers