Answer: x-intercept
<u>Step-by-step explanation:</u>
NOTES
1) Parabolic motion is represented by the equation:
h(t) = -9.8t² + vt + h (in meters per second²), v is velocity
or
h(t) = -32t² + vt + h (in feet per second²), v is velocity
2) The x-axis is time (in seconds) & the y-axis is height (in meters or feet).
Since you want to know what time the object hit the ground, h = 0
Therefore, you are looking for the zero of the equation, which is on the x-axis, thus is the x-intercept.
His brother jogged more by 1 1/10 kilometers.
Answer:
Inverse of a function
Step-by-step explanation:
If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.
For example, given the following function:
y = 2x
If x=0 → y= 0
If x=1 → y= 2
If x=2 → y= 4
Now, if we find the inverse of the function:
y = 2x → x = 2y → y = x/2
Now:
If x=0 → y= 0
If x=2 → y= 1
If x=4 → y= 2
Comparing both cases, you will notice that the ordered pairs are effectively interchanged.
Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
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Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
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Factorize 
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
