Rewrite the equation in vertex form. name the vertex and y-intercept. y = x^2 – 10x + 15

y = ( x - 5 )²-10

vertex: (5, -10)

y - intercept: ( 0,15)

Step-by-step explanation:

In order to solve this you first have to create a perfect square trinomial, with the first and second term of the function, which would be X^2 and -10, -10 divided by two would be -5 and -5 squared would be 25, so the equation would be more or less like this:

That would be vertex form, and the vertex is calculated by taking the root of the perfect squared trinomial and equalizing it to zero:

x-5=0

x=5 and y= -10 that would be vertex.

And the intersect with the Y-axis is calculated evaluating the equation when x equals 0, that would be:

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: