A) (3)² = 3 × 3 and 10(8)² = 10 × 8 × 8
B) (3)² = 9 and 10(8)² = 640
For any number x, the square of the number denoted by (x)² is equal to 2 times x multiplied by itself or x*x.
Here, we are given two expressions- (3)² and 10(8)²
we need to write both of them in expanded form and then write their values.
Expanded form of (3)² is 3 × 3
The value of the expression (3)² will be-
(3)² = 3 × 3 = 9
Similarly, expanded form of 10(8)² is 10 × 8 × 8
The value of the expression 10(8)² will be-
10(8)² = 10 × 8 × 8 = 640
Learn more about expanded form here-
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Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2
Answer:
All real numbers.
Step-by-step explanation:
In this equation, x can stretch across the graph.
