Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
A rational number is any number that can be made into a fraction and is either repeating or stops when in decimal form.
Rational numbers between 3 and 3.5 would be 10/3 (3.33 repeating), and 13/4 (3.25).
Hope this helps!! :)
The correct answer is 2. a = 1/2, b = - 3, c = -2
Step-by-step explanation:
1. Let's review the information provided for an answering the question correctly:
0 =1/2x^2- 3x- 2
0 = 1/2x² - 3x - 2
2. Let's find the values for a, b and c.
According to the quadratic equation, we have:
a = 1/2
b = - 3
c = - 2
The correct answer is 2. a = 1/2, b = - 3, c = -2
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