lpierce35
13.12.2020 •
Mathematics
If y=2
Evaluate the following expression
4(2y-3)
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Ответ:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4(2y - 3)
y = 2
Step 2: Evaluate
Substitute in y: 4(2(2) - 3)Multiply: 4(4 - 3)Subtract: 4(1)Multiply: 4Ответ:
y=(x-1)²+4
Step-by-step explanation:
The equation for a parabola in vertex form is y=a(x-h)²+k
(h,k) represents the vertex of the parabola
The value of "a" represents the stretch or compression factor
Since the vertex is (1,4) this means (h,k)=(1,4). To find the value of a, we plug in (3,8) as (x,y) in the equation:
y=a(x-h)²+k
8=a(3-1)²+4
8=a(2)²+4
8=a(4)+4
8=4a+4
4=4a
a=1
Since a=1 the parabola doesn't compress or stretch. This means that our final equation is y=(x-1)²+4