Answer:
standard form: y = x² - 2x - 8
vertex form: y = (x − 1)² - 9
factorized form: y = (x + 2)(x - 4)
Step-by-step explanation:
From inspection of the graph:
- Axis of symmetry: x = 1
- Vertex = (1, -9)
- x-intercepts = (-2, 0) and (4, 0)
- y-intercept = (0, -8)
Standard quadratic form: y = ax² + b x + c
Vertex form of a quadratic equation: y = a(x − h)² + k
If a > 0 then the parabola opens upwards
If a < 0 then the parabola opens downwards
(h, k) is the vertex
c is the y-intercept
Inputting the vertex into the vertex form gives:
y = a(x − 1)² - 9
= a(x² - 2x + 1) - 9
= ax² - 2ax - 8
Using the x-intercepts to create a quadratic equation:
y = a(x + 2)(x - 4)
= a(x² - 2x - 8)
= ax² - 2ax - 8a
Comparing the y-intercepts:
-8 = -8a ⇒ a = 1
Therefore, y = x² - 2x - 8
Answer:
d: x3R
Step-by-step explanation:
Step 1: What is asked
A domain is for what values of x in the graph is defined such as when y = 2, x is equal to 2.
Step 2: Solve
Since this is a linear equation the domain would be every x value do it would be: d: x3R (x belongs to all real numbers)
Answer:
I don't know maybe it this way but am sure the answer is 15
Step-by-step explanation:
3y+4y+5y=180(sum of angle in a triangle)
12y=180
divide both side by 12
ur Y will be
y=15
Answer: The 95% confidence interval will be wider.
Step-by-step explanation:
Confidence interval for population proportion is written as
Sample proportion ± margin of error
margin of error = z score × √pq/n
The z score is determined by the confidence level. The z score for a confidence level of 95% is higher than the z score for a confidence level of 90%
This means that with all other things being equal, a 95% confidence level will give a higher margin of error compared to a 90% confidence level.
The higher the margin of error, the wider the confidence interval. Therefore,
The 95% confidence interval will be wider.
Your center would be (3,-4)
