(V2.00)Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

The standard form of the quadratic equation is $f(x)=-2x^{2}+12x-16$

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

$f(x)=ax^{2}+bx+c$

we have

$f(x)=-2(x-3)^{2}+2$

convert to standard form

$f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16$

You might be interested in

Helen used 1/4 of her savings for her first year of college. 3/8 of that money was spent on her housing and meals. Which equatio

iren [92.7K]

3/32
just multiply the fractions

8 0

3 years ago

Read 2 more answers

P(t) = 250 * (3.04)^t/1.98,

Alex17521 [72]

Answer:

The concept which best describes the change of the population is the derivative of $p(t)=250(3.04)^{\frac{t}{1.98}}$ .

Step-by-step explanation:

Observe that the function $p(t)=250(3.04)^{\frac{t}{1.98}}$ describes the amount of rabbits at the time t (in years) but no the rate of change of the population at a given instant. So you have to use the derivative of $p(t)$ to obtain that rate of change at any instant. For example, if we derivate the function $p(t)=250(3.04)^{\frac{t}{1.98}}$ we obtain: