Answer:
B
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 the vertex = (- 2, - 3 ) , then
y = a(x - (- 2))² - 3 , that is
y = a(x + 2)² - 3
To find a, substitute any point on the graph into the equation
Using the coordinates of the y- intercept (0, 5 )
5 = a(0 + 2)² - 3 ( add 3 to both sides )
8 = a(2)² = 4a ( divide both sides by 4 )
2 = a
y = 2(x + 2)² - 3 → B
The equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3
<h3>Equation of a line </h3>
From the question, we are to determine the equation that represent the given line
To determine the equation, we will pick two points on the line and determine the equation of the line
Picking the points (0, 3) and (3, 9)
Using the formula for the finding the equation of a line with two given points
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
x₁ = 0
y₁ = 3
x₂ = 3
y₂ = 9
Then,
(y - 3)/(x - 0) = (9 - 3)/(3 - 0)
(y - 3)/x= 6/3
(y - 3)/x= 2
y - 3 = 2x
y = 2x + 3
Hence, the equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3
Learn more on Equation of a line here: brainly.com/question/4074386
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Question:
What is the length of the rectangle?
Information:
A rectangle has an area of 84 square feet and a width of 7 feet.
Answer:
<h2>
12</h2>
Step-by-step explanation:
84/7 = 12
Answer:
1/4 ch a chance of a car any color
Step-by-step explanation:
if you only have 4 cars and they are different colors, you get 1/4 chance to pick one