Finding the Vertex of a Parabola

The video tutorial explains how to find the vertex of a parabola. It begins by setting the equation to zero to find the X intercepts, which are identified as 1 and 5. The vertex is located at the midpoint of these intercepts, calculated as 3. The Y coordinate of the vertex is determined by substituting 3 into the equation, resulting in a value of -4. Thus, the vertex of the parabola is at (3, -4).

What is one method to find the vertex of a parabola?

• Using the quadratic formula

• Using a calculator

• Setting the equation equal to zero

• Graphing the equation

What is the first step in finding the X intercepts of a parabola?

• Multiply the terms

• Set the equation equal to zero

• Add the coefficients

• Divide by the leading coefficient

What are the X intercepts of the equation x - 5 times x - 1?

• 5 and 10

• 1 and 5

• 1 and 10

• 0 and 5

If the squared term in a parabola is positive, which direction does it open?

• To the right

• To the left

• Downward

• Upward

How do you find the halfway point between two X intercepts?

• Multiply them together

• Subtract them

• Add them and divide by two

• Divide them

What is the X coordinate of the vertex if the X intercepts are 1 and 5?

• 4

• 5

• 3

• 2

How do you find the Y coordinate of the vertex?

• Use the quadratic formula

• Use a graphing calculator

• Find the average of the Y intercepts

• Plug the X coordinate into the original equation

What is the Y coordinate of the vertex if the X coordinate is 3?

• -4

• 0

• 4

• 6

What is the final vertex of the parabola given in the video?

• (3, -4)

• (1, 5)

• (5, 1)

• (0, 0)

Why is it important to find the vertex of a parabola?

• To calculate the slope

• To find the maximum or minimum point

• To determine the axis of symmetry

• To solve linear equations