Exploring Quadratic Equations in Algebra 1

The video tutorial provides a comprehensive review of quadratic equations, focusing on graphing parabolas, finding the axis of symmetry and vertex, and solving equations using various methods such as the quadratic formula, square roots, and factoring. It also covers identifying roots, zeros, and solutions, and demonstrates how to use a calculator for graphing and solving quadratics.

What shape do quadratic functions graph into?

• Circle

• Parabola

• Ellipse

• Line

What determines if a parabola opens up or down?

• The degree of the polynomial

• The sign of the leading coefficient

• The value of b in the equation

• The value of c in the equation

How is the axis of symmetry in a quadratic graph determined?

• -2a/b

• -b/2a

• b/2a

• 2a/b

What is the standard form of a quadratic equation?

• a + bx + cx^2

• ax^2 + bx + c

• ax + bx^2 + c

• ax^2 - bx + c

How can you find the vertex of a parabola on a graph?

• It's the highest or lowest point on the graph

• It's the midpoint of the x-axis

• It's where the graph touches the x-axis

• It's where the graph crosses the y-axis

What are the roots of a quadratic equation also known as?

• Intercepts

• Zeros

• Coefficients

• Vertices

Which method involves getting the variable on one side to solve a quadratic equation?

• Using square roots

• Graphing

• Completing the square

• Factoring

What does the quadratic formula solve for in a quadratic equation?

• The coefficients

• The roots

• The axis of symmetry

• The vertex

What is necessary for using the quadratic formula?

• Finding the vertex first

• Setting the equation to x = 0

• Setting the equation to y = 0

• Setting the equation to 0

What does a discriminant tell you about a quadratic equation?

• The slope of the graph

• The x-intercepts

• The number of real solutions

• The y-intercept