Answer:
(-3,0)
Step-by-step explanation:
the vertex is where the quadratic function reaches its maximum or minimum height and as you can see on this graph the maximum height of this equation is at the (-3,0) point meaning that (-3,0) is the vertex
6/-15 simplified is 2\-5 explanation: you subtract 4-(-2) which is 6 then -12-3 which is -15. Then I simplified to 2/-5 (sorry if I am wrong)
"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right.
y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out
Similarly choice B is eliminated as well because the slope is also m = 2
Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)
The only choice with a negative slope is choice D. The slope is m = -2
This is why the answer is choice D
Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept
Answer:30
Step-by-step explanation:the initial statement is
y ∝ x
to convert to an equation multiply by k the constant
of variation
⇒ y = k x
to find k use the given condition
y = − 24 when x = 8 y = k x ⇒ k = y x = −22
∣
∣
∣22 y = − 3 x 22
∣∣∣
−−−−−−−−−−−−−−
when x = 10
then y = − 3 × 10 = −30