Math Problem Statement

Find h(0) for the function h(x) = -2x^2 - 2x - 2.

Solution

In the image, you are asked to find h(0)h(0), where h(x)=2x22x2h(x) = -2x^2 - 2x - 2.

To solve for h(0)h(0):

h(0)=2(0)22(0)2h(0) = -2(0)^2 - 2(0) - 2 h(0)=002h(0) = 0 - 0 - 2 h(0)=2h(0) = -2

So, h(0)=2h(0) = -2.

Would you like more details or have any other questions?

Here are five related questions:

  1. How can you find the roots of the quadratic function h(x)=2x22x2h(x) = -2x^2 - 2x - 2?
  2. What does the graph of h(x)=2x22x2h(x) = -2x^2 - 2x - 2 look like?
  3. How do you determine the vertex of a quadratic function?
  4. How can you find the y-intercept of h(x)h(x) directly from its equation?
  5. How would you find h(1)h(1) using the same method?

Tip: For any quadratic function ax2+bx+cax^2 + bx + c, the y-intercept is always the constant cc.

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Substitution
Algebra

Formulas

Quadratic function: ax^2 + bx + c
Substitution method for evaluating functions

Theorems

Fundamental Theorem of Algebra

Suitable Grade Level

Grades 9-12