Answer:
[-7, ∞ )
Step-by-step explanation:
I'm assuming that the function is y = (x + 8)² - 7
To find the range, we need to find the vertex,
Vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the location of the vertex. Our equation has a = 1, h = -8, and k = -7. Since a > 0, the parabola opens up, so the upper limit of the range is infinity. To find the lowest value of the range, we find the vertex.
Here the vertex is at point (-8, -7), so -7 is the lower limit of the function's range.
The range is [-7, ∞ )
Answer:
Step-by-step explanation:
The equation of a sine function is y = a sin(bx), where a = amplitude (aka height) and b equals period (aka time). I'm assuming there isn't any information other than the graph shown, so let's assume that our amplitude is 1 and our period is 2pi/3. Plugging these values into the equation, we get:
So any line will be parallel as long as the slope is the same between the two equations.
y=3x+10
Therefore, the new equation just needs the same slope.
y=3x + # (any number you like)
Ex. y=3x-8 or y=3x+3
16.8-8.3=8.5
You round the numbers with decimals to their tenths place and then subtract normally.
The answer would be B. If you want to FIND how many points a person has, you put the "p" on its own on the left of the equation, and since every field goal (f) you score is worth 3 points, just multiply "f" by 3 (3f).
For example, if someone scored 5 field goals in a game, to find how many points they totalled, just plug in the 5 for "f":
1. Get equation:
p = 3f
2. Plug in field goals for "f":
p = 3(5)
3. Solve:
p = 15