Help me pls pls pls
2 answers:
You might be interested in
Answer:
x -intercepts are x = -3 and x = 1
y-intercept at y = -3
The line of symmetry is x = -1
vertex is (h,k) = (-1,-4)
Step-by-step explanation:
Given a quadratic equations: h(x) = (x + 1)^2 - 4
The vertex for is :
h(x) = a(x - h)² + k
where,'h' is the axis of symmetry and (h,k) is the vertex.
So from the given equation we will rewrite the equation as:
h(x) = (x - (-1))^2 - 4
Hence,h = -1 and k = -4
The line of symmetry is x = -1 and vertex is (h,k) = (-1,-4)
Now, we have to find the x intercepts,
using the equation,
(x + 1)² = 4
Taking the square root on both sides,
√(x + 1)² = √4
x + 1 = ± 2
x = 1 or x = -3
So x -intercepts are x = -3 and x = 1
For y-intercept put x = 0 into the real equation:
h(x) = (0 +1)^2 - 4
y = 1 - 4
y = -3
So y-intercept at y = -3
Here with I have attached the graph.
Thank you.
Answer:
{4, 8, 8, 11, 14}
Step-by-step explanation:
The range is 10. This criteria is already met as 14-4=10. This means that we cannot have any numbers smaller than 4 or larger than 14.
The mode is 8 (And there is only one mode). The mode is the numbers that occurs the most. For there to be only one mode, there has to be at least 2 8's in this data set.
Currently, our data set is {4, 8, 8, ?, 14}
The mean is 9. Firstly, let us go over what the mean is. The mean is the average of all of the numbers in the set. To find this, you add up all of the elements in the set and divide it by the number of elements that you added.
This means that the equation that we would use to find the mean is
Now, we just need to solve for x to find the last element