Question

1. find the square root \\( \sqrt{64} \\)\

a. \\( -8 \\)\
b. 32\
c. 8\
d. 4096\
\

1. the graph of a quadratic function is called a\

the parent function is \\( \underline{\quad\quad} \\)\
the a-coefficient tells you if the graph opens \\( \underline{\quad\quad} \\)\
the c-term tells you the \\( \underline{\quad\quad} \\).

Explanation:

Step1: Recall square root definition

The square root of a number \( x \) (denoted as \( \sqrt{x} \)) is a value \( y \) such that \( y^2 = x \), and for non - negative real numbers, we consider the principal (non - negative) square root.
We know that \( 8\times8 = 64 \), so \( \sqrt{64}=8 \). Also, we need to check the options:

• Option A: \(- 8\) is a square root of \( 64\) (since \((-8)^2 = 64\)), but the principal square root (the one denoted by \( \sqrt{x}\) for \( x\geq0\)) is non - negative.
• Option B: \( 32\times32=1024

eq64\), so this is incorrect.

• Option C: \( 8\times8 = 64\), so \( \sqrt{64} = 8\), this is correct.
• Option D: \( 4096\times4096\) is a very large number, much larger than \( 64\), so this is incorrect.

Answer:

C. 8