F(x) =
2x² - 8x + 7=2(x²-4x) + 7
We are going to use formula a²-2ab+b² = (a-b)² to complete the square.
f(x)= 2(x² -2*2x+2²-2²)+7
f(x)=2(x² -2*2x+2²) -2*2² +7
f(x)=2(x-2)²- 1
Answer is D.
We can see that f(x) =
2x² - 8x + 7 and f(x)=
2(x-2)²- 1 are the same on the graph.
Answer:
0.0031
Step-by-step explanation:
31/10000=0.0031
you divided by 10000 and it has four zeroes so you should have four numbers after 0
Answer:
it can be either one of this
x<-3 or x > -1
By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.
In calculus, the slope is the first derivative of the equation:
<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0
Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>