Determining the Vertex of a Parabola from Its Graph
2 answers:
Answer:
(-3, -4)
Step-by-step explanation:
The solid circles along the parabola are:
(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).
Although on observation, the minimum point of y occurs at (-3, -4), we can also confirm through the function.
The x-intercept of the parabola are -5 and -1.
x=-5 or x=-1
x+5=0 or x+1=0
(x+5)(x+1)=0
The Vertex of the equation occurs at the axis of symmetry,
In
Axis of Symmetry,
Therefore, we can confirm that the vertex is (-3,-4) as stated earlier.
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Answer:
Let a and b integers and suppose that are even numbers. Then, exist integers k and m such that and
.
Then,
Since, k and m are integers then n=k+m is an integer. Then, since a + b is of the form 2 by an integer n, then a + b is an even number.
Answer:
Area of the counter top is .
Step-by-step explanation:
Given:
Length of the Counter top = 18 feet
Width of the counter top = 3 feet
We need to find the area of the counter top is square meter;
Solution:
Now we need to find the area of the counter top is square meter.
But given data is in feet so we will first convert feet into meters.
1 foot = 0.305 meter.
So 18 feet = Number of meters in 18 feet.
By Using Unitary method we get;
Number of meters in 18 feet =
Length of the Counter top = 5.49 m
Also 3 feet = Number of meters in 3 feet.
Again Using Unitary method we get;
Number of meters in 3 feet =
Width of the counter top = 0.915 m
Now we know that;
Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.
framing in equation form we get;
Area of the counter top =
Rounding up to 2 decimals we get;
Area of the counter top =
Hence Area of the counter top is .