we Know that
The formula to calculate the slope between two points is equal to

Let

substitute the values in the formula



therefore
the answer is the option

Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
Answer:
Your answer is B
That is the correct answer
<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, ...
... (-∞, ∞).
Answer:
(2 2) is answer of this question