Finding the Vertex of Quadratic Functions

The video tutorial covers the concept of the vertex in parabolas, explaining its significance as the center point. It discusses zeros of a function, which are x-values making the function zero, and how they relate to x-intercepts. The tutorial explains the axis of symmetry, a line dividing the parabola into symmetrical halves, and provides methods to find it using zeros or a formula. Finally, it details steps to calculate the vertex by finding the x-coordinate through the axis of symmetry and the y-coordinate by substituting back into the equation.

What is a zero of a function?

• A constant value in the equation

• The highest point of the parabola

• An x-value that makes the function equal to zero

• The coefficient of x squared

How many zeros can a quadratic function have?

• Zero, one, or two

• Always two

• Two or three

• Only one

What does the axis of symmetry represent in a parabola?

• The average of the function's zeros

• The point where the parabola crosses the y-axis

• A line that divides the parabola into two mirror images

• The lowest point of the parabola

How do you find the axis of symmetry with two zeros?

• Find the average of the two zeros

• Add the zeros and divide by the coefficient of x

• Subtract one zero from the other

• Multiply the zeros together

What is the formula for the axis of symmetry in standard form?

• b / 2a

• -b / 2a

• -b / a

• 2a / b

What are the steps to find the vertex of a parabola?

• Use the quadratic formula to solve for x

• Multiply the coefficients of x and x squared

• Calculate the derivative, set to zero, solve for x

• Find the x-coordinate, find the y-coordinate, write as an ordered pair

What is the x-coordinate of the vertex also known as?

• The maximum value of the function

• The axis of symmetry

• The zero of the function

• The coefficient of x squared

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

• By calculating the derivative at the x-coordinate

• By finding the average of the function's zeros

• By solving the quadratic equation

• By plugging the x-coordinate into the original equation

What does the vertex of a parabola represent?

• The highest or lowest point on the graph

• The point where the parabola crosses the y-axis

• The average rate of change of the function

• The point where the parabola crosses the x-axis

In the formula for the axis of symmetry, what do 'a' and 'b' represent?

• 'a' is the coefficient of x squared and 'b' is the coefficient of x

• Both 'a' and 'b' are coefficients of x

• 'a' is the coefficient of x and 'b' is the constant term

• 'a' is the constant term and 'b' is the coefficient of x squared