Answer:
(-b/2a, b^2/(4*a) - b^2/2a + c)
Step-by-step explanation:
For a general parabola:
y = a*x^2 + b*x + c
We can write the vertex as:
(h, k)
The x-value of the vertex is the value of the axis of symmetry.
Then we have:
h = x = -b/2a
Now we need to find the y-value of the vertex.
To do that, we just replace the variable "x" by the x-value of the vertex in our equation, so we get:
k = y = a*(-b/2a)^2 + b*(-b/2a) + c
k = b^2/(4*a) - b^2/2a + c
Then the coordinates of the vertex are:
(h, k) = (-b/2a, b^2/(4*a) - b^2/2a + c)
Answer:
-40
Step-by-step explanation:
you multiply both sides by 10 to get the variable by its self
n = -40
hope this helps
Hey there!
To solve the first problem, I've found it easiest to solve the equation for, say, values –2 through +2 and create a table of values for you to begin graphing this function. You may need to do more depending on the equation itself.
Some points are: (–2, 0.75), (–1, 1.5), (0, 3), (1, 6) and (2, 12). You can check which graph matches up with these points the closest to get your answer of D.
To solve the second problem, you'll need to use the distance equation.
x1 = –4, y1 = 3
x2 = –1, y2 = 1
___________________
√ (x2–x1)^2 + (y2–y1)^2
_________________
√ (–1–(–4)^2 + (1–3)^2
_______________
√ (–1+4)^2 + (–2)^2
____________
√ (3)^2 + (–2)^2
_____
√ 9 + 4
___
√ 13, making your answer D
For your third question, I always just counted the number of units the point was from the line of reflection. You'll count twice diagonally towards the line from point C for this one, staying on the "crosshairs" of the graph. All you need to do then is count two diagonal units along the same line, then you'll get your answer of (2, 6), or D.
For your final question, A and B are immediately out, since they won't be parallel to the 4x equation. You'll need to solve both of your remaining equations for y with 2 plugged in for x; whichever one equals 7 will be your answer. In this case, it will be D.
Hope this helped you out! :-)
Answer:
Step-by-step explanation:
25x = 300
Rearrange to solve
x = 300 divided by 25 = 12
Hope this helps
Answer:
C.
Step-by-step explanation:
1 1/3 as an improper fraction is 4/3.
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