Learn the basics to graphing a parabola in standard form

The video tutorial covers the basics of quadratic equations, focusing on graphing them as parabolas. It begins with a review of linear equations and their graphing methods, then transitions to quadratics, explaining the importance of the vertex and axis of symmetry. The tutorial provides step-by-step instructions on finding the vertex using the formula -b/2a and plotting additional points to graph the parabola. The concept of symmetry is emphasized to complete the graph effectively.

What is the defining characteristic of a quadratic equation?

• It has a variable raised to the first power.

• It has a variable raised to the second power.

• It has no variables.

• It has a variable raised to the third power.

Which method is NOT used for graphing linear equations?

• Vertex form

• Intercept method

• Slope-intercept form

• Table of values

What shape does the graph of a quadratic equation form?

• Ellipse

• Parabola

• Circle

• Line

What is the vertex of a parabola?

• The point where the graph crosses the x-axis

• The highest or lowest point on the graph

• The midpoint of the graph

• The point where the graph crosses the y-axis

What is the first step in graphing a quadratic equation?

• Find the slope

• Find the vertex

• Find the y-intercept

• Find the x-intercept

How many points are typically used to graph a quadratic equation?

• Two

• Three

• Four

• Five

What formula is used to find the axis of symmetry in a quadratic equation?

• y = ax^2 + bx + c

• x = a + b

• x = -b / 2a

• y = mx + b

What is the axis of symmetry in a parabola?

• A diagonal line through the vertex

• A vertical line through the vertex

• A horizontal line through the vertex

• A line parallel to the x-axis

What is the standard form of a quadratic equation?

• y = mx + b

• a^2 + b^2 = c^2

• ax^2 + bx + c = 0

• x^2 + y^2 = r^2

How do you find the y-coordinate of the vertex?

• By using the formula y = ax^2 + bx + c

• By substituting the x-coordinate of the vertex into the equation

• By setting x to zero

• By finding the midpoint of the x-intercepts