Find the vertex and x intercept of a quadratic

The video tutorial explains how to work with quadratic equations, focusing on finding the vertex and X intercepts. It begins with an introduction to quadratics, highlighting their definition and standard form. The instructor then demonstrates how to rewrite a quadratic equation to easily identify the vertex. Finally, the process of finding X intercepts is covered, including setting the equation to zero and solving for X using square roots.

What is the standard form of a quadratic equation?

• a(x - h)^2 + k

• ax^3 + bx^2 + c

• ax + b

• ax^2 + bx + c

In the vertex form of a quadratic equation, what do H and K represent?

• The coefficients of x

• The roots of the equation

• The vertex coordinates

• The x-intercepts

How can you rewrite the equation H(x) = -x^2 + 25 to find the vertex?

• H(x) = -(x - 0)^2 + 25

• H(x) = x^2 - 25

• H(x) = (x + 0)^2 - 25

• H(x) = -x^2 - 25

What is the vertex of the equation H(x) = -x^2 + 25?

• (0, -25)

• (-25, 0)

• (25, 0)

• (0, 25)

When solving for the x-intercepts of H(x) = -x^2 + 25, what values of x do you find?

• x = 5

• x = ±25

• x = ±5

• x = 0