The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice
The statements that are true about the graph of the function are
The standard equation of a function in vertex form is expreseed as:
a(x-h)^2 + k
Given the quadaratic function f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5
f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11
Find the y-intercept.
This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5
Hence the y-intercept of the function is at (0, 5)
Since the quadratic function has a leading degree of 2, hence the function crosses the x-axis twice
Learn more on vertex and intercepts here: brainly.com/question/12778829
Answer:
A, D, E
Step-by-step explanation:
= 15 cuts the x-axis at the point ________.
Answer:
(0,5)
Step-by-step explanation:
3x-5y=15
Plug in 0 for y, because we are trying to find the value of x, when y is 0
so, 3x-5(0)=15
3x=15 Divide both sides by 3
x=5
so the answer in coordinate form is (0,5)
all real numbers except x = 0
x<_0
all real numbers
b. It is wider and shifted 3 units to the right.
c. It is narrower and shifted 3 units to the left.
d It is narrower and shifted 3 units to the right.
Transformation involves changing the position of a function.
The true statement is: (b) It is wider and shifted 3 units to the right.
The function is given as:
First, the function is translated right by 3 units.
So, we have:
Next, the function is enlarged horizontally by a factor of 0.1.
So, we have:
The above highlights mean that:
will be wider than
Hence, the correct option is (b)
Read more about function transformations at:
Answer:
Step-by-step explanation:
Total length of dive is the sum of the distances above the water and below the surface: