Find the vertex and x intercepts of a quadratic

The video tutorial explains how to find the vertex and X intercepts of a quadratic function. It begins with an introduction to quadratic functions and their standard form. The instructor then demonstrates how to convert a quadratic equation into standard form using the method of completing the square. The process involves ensuring the quadratic is in descending order, making the coefficient of the squared term one, and creating a perfect square trinomial. The video also covers finding the vertex of the function and using the quadratic formula to determine the X intercepts.

What is the standard form of a quadratic equation?

• F(x) = ax^2 + bx + c

• F(x) = a(x - h)^2 + k

• F(x) = a(x + b)^2 + c

• F(x) = ax + b

What is the first step in completing the square for a quadratic equation?

• Factor the equation

• Use the quadratic formula

• Ensure the quadratic is in descending order

• Find the vertex

How do you determine the value to add and subtract when completing the square?

• Divide B by 2 and square it

• Multiply A by C

• Subtract A from B

• Add B and C

What is the vertex of the function F(x) = x^2 + 3x + 1/4 after completing the square?

• (3/2, 2)

• (3, -1/4)

• (-3/2, -2)

• (-3, 1/4)

What is the purpose of converting a quadratic equation to vertex form?

• To solve for Y-intercepts

• To simplify the equation

• To find the X-intercepts

• To easily identify the vertex

Which formula is used to find the X-intercepts of a quadratic equation?

• Quadratic formula

• Vertex formula

• Slope formula

• Intercept formula

What are the X-intercepts of the function F(x) = x^2 + 3x + 1/4?

• (-3/2 ± √2)

• (3/2 ± √2)

• (-3 ± √2)

• (3 ± √2)