Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
Answer:a is the answer I think..........................
Answer:
The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.
Step-by-step explanation:
The answer is x = 9, hope this helps- mark brainliest if you can please thanks
Answer:
Hello!
Question 1: <u>What is an earthquake?</u> Answer: An earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves.
Question 2: <u>What are faults?</u> Answer: In geology, a fault is a planar fracture or discontinuity in a volume of rock across which there has been significant displacement as a result of rock-mass movements.
Question 3: <u>Why are earthquakes more likely to occur near faults?</u> Answer: Notice that many plate boundaries do not coincide with coastlines. Earthquakes can also occur far from the edges of plates, along faults. Faults are caused by all that bumping and sliding the plates do. They are more common near the edges of the plates.
Question 4: <u>What happens when the plates grind against each other? </u><u>Answer: </u>An earthquake is caused by the movement of Earth's crustal plates grinding against one another.
Question 5: <u>Is it true that when vibrations reach earth surface as earthquakes occur? </u>Answer: Yes! It's true that it vibrates near the earth surface!
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥