Write the quadratic function in vertex form.

y = x2 - 2x + 5

Step-by-step explanation:

To write this quadratic function in vertex form, which is the explicit form of the parabola, we have to complete the square in the expression.

First, we have to take the coefficient of the linear term and find the squared power of its half:

Then, we add and subtract this number in the quadratic expression:

Now, we use the three terms that can be factorize as the squared power of a binomial expression:

Then, we find the square root of the first term and third term, and we form the squared power:

Now, this vertex form is explicit, because it says from the beginning what's the coordinates of the vertex, which is: , as minimum, because the parabola is concave up.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

if you are saying purchasing 3 social media ads and one newspaper ad counts as one purchase then there are:

6 purchases

if you are asking how many of each then:

18 social media ads

6 newspaper ads