What is the Vertex and Y-intercept of f(x)=3x^2-6x+4? Please show your work.

Mathematics

1 answer:

xxMikexx [17]2 years ago

7 0

Answer:

(1;1) and (0;4)

Step-by-step explanation:

1) if given f(x)=3x²-6x+4 (where a=3; b=-6 and c=4), then

$x_0=\frac{-b}{2a}; \ = > \ x_0=1;$

$y_0=3*1-6*1+4=1;$

it means, the vertex has coordinates (1;1).

2) if according to the condition x=0, then

f(0)=0-0+4=4;

it means the Y-intercept is 4.

You might be interested in

A study shows that 78% of the population of all calculus students consider calculus an exciting subject. Suppose 20 students ar

alexdok [17]

Answer:

0.046145 = 4.6145%

Step-by-step explanation:

We need to find the probability of 19 or 20 (all) students considering calculus to be an exciting subject, so first we find the probability for 19 students, then for 20 students, and we sum these probabilities.

The probability of the student NOT considering calculus to be an exciting subject is 1 - 0.78 = 0.22

For 19 students, we also have to calculate a combination of 20 choose 19, as these 19 students can be in different "position" among the 20 students, so:

C(20,19) = 20!/19! = 20

Probability of 19 students considering calculus to be an exciting subject:

C(20,19) * 0.78^19 * 0.22^1 = 0.039196756

Probability of 20 students considering calculus to be an exciting subject:

C(20,20) * 0.78^20 = 1 * 0.78^20 = 0.006948516

The final probability is:

0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%

Rounding to six decimal places: 0.046145 = 4.6145%

5 0

3 years ago

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i

Y_Kistochka [10]