The parent function for quadratic equations is as followed:
where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.
So going from
to
,
We are shifting 1 to the left and 6 up.
The horizontal shift is in the negative direction because in the equation, h=-1 because:
The answer is A.
Answer:
a. x = 14 (see explanation)
b. the arrows along the lines
Step-by-step explanation:
The relationship of these two expressions is Same Side, which means their sum is 180.
<u><em>plugging</em><em> </em><em>in</em></u>
108 + 4x + 16 = 180 | Given
124 + 4x = 180 | Add the numbers
4x = 56 | Subtract 124 from both sides
x = 14 | Divide both sides by 4
Answer:
14.0% increase
Step-by-step explanation:
One formula you can use for this is ...
percent change = ((new value)/(old value) -1) × 100%
= (65/57 -1) × 100%
≈ 0.1403 × 100%
≈ 14.0% . . . . . . the positive sign indicates an increase
Answer:
y=3x ( the'=' sign is the proportionality sign)
Step-by-step explanation:
x = 1 , 2 , 3 , 4
y = 3 , 6 , 9 , 12
You are multiplying by 3 to get to y
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
Answer:
No it is still 11 feet from the water at 2 seconds
2.1651 seconds is when it will hit the water
Step-by-step explanation:
h(t) = -16 t^2 +75
This is the formula for the distance
The -16t^2 is due to gravity and the 75 is the height above the bridge
We want to know the height a t =2
h(2) = -16 (2)^2 +75
h(2) =-64 +75
h(2) = 11
The rock will be 11 ft above the water
When will the rock hit the water
h = 0
0 = -16 t^2 +75
Subtract 75 from each side
-75 = -16t^2 +75-75
-75 = -16t^2
Divide by -16
-75/-16 = -16t^2 /-16
75/16 = t^2
Take the square root of each side. We only take the positive square root since time must be positive
sqrt(75/16) =t
5/4 sqrt(3) = t
2.1651 seconds = t
