Math question help

Question

What is -1^{2 and} -0² ?

Second problem: says f(-1) and the problem is f(x)=-x² +4x+5

Will that be written as f(x)= - -1²+ 4(-1)+ 5

or f(-1)= -(-1)² + 4(-1) +5

and what’s the answer? Please help.

Answer 1

What is -1^{2 and} -0² ?

1. If you mean (-1)² and (-0)²
2. First, there is no such thing as -0, so (-0)² is really just (0)²
3. Zero to a power is zero, so 0² = 0
4. Next (-1)² = (-1)*(-1) = 1
5. In this case the answer to your question is (-1)² = 1 and (0)² = 0
6. If you mean -(1²) and -(0²)
7. First, zero to a power is zero, so 0² = 0
8. There is no such thing as -0, so -(0) is really just 0
9. Next -(1²) = -(1*1) = -(1) = -1
10. In this case the answer to your question is -(1²) = -1 and -(0)² = 0

If f(x) = -x² + 4x+ 5, then what is f(-1)?

1. When substituting a value for x, always include parentheses to ensure values are properly substituted
2. f(-1) = -(-1)² + 4(-1) + 5
3. f(-1) = -(1) - 4 + 5
4. f(-1) = 5 - 4 - 1 = 0
5. Therefore, when f(x) = -x² + 4x+ 5.—> f(-1) = 0
6. This can also be expressed by the ordered pair (-1, 0)

Answer 2

-1² = -1

-0² = 0

This is the correct way to do this problem: f(-1)= -(-1)² + 4(-1) +5

But it is not the final answer. It needs to be simplified

f(-1)= -1-4+5

f(-1)=0