This is the answer:
a = 12
x2 - 12x = -6
Your next step would be to add 36 to both sides.
x2 - 12x + 36 = 30
In completing the square, we divide the term before x by 2, and then square it and add it to both sides.
12 / 2 = 6
6^2 = 36
That would be the next step.
Y = 2x³, when x = -3
<span>y = 2*(-3)³
</span>
<span>y = 2*-27
</span>
y = -54
<h3>Answer:</h3>
- g(x) = -18x +8
- y-intercept: (0, 8)
- domain: (-∞, ∞)
- range: (-∞, ∞)
<h3>Explanation:</h3>
Reflecting a function across the x-axis changes every y-value to its opposite. That is, f(x) = 18x becomes g(x) = -18x.
Shifting a function upward 8 units adds 8 to every y-value. That is, g(x) becomes g(x)+8.
The combined effect of these two transformations on f(x) is to give you ...
... g(x) = -18x + 8
You recognize this as the equation of a line in slope-intercept form, with the y-intercept being +8. That is, g(0) = -18·0 +8 = 8. The y-intercept is ...
... (0, 8)
The domain and range of any linear equation is "all real numbers," that is, ...
... (-∞, ∞).
