Which quadratic function does the graph represent with a vertex of negative 1 and negative 6

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h , k) = (- 1, - 6), hence

y = a(x + 1)² - 6

To find a substitute (0, - 4) into the equation

- 4 = a - 6 ⇒ a = - 4 + 6 = 2

y = 2(x + 1)² - 6 ← equation in vertex form

expand and simplify

y = 2(x² + 2 + 1) - 6

  = 2x² + 4x + 2 - 6

y = 2x² + 4x - 4 ← equation in standard form

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

care to share were the trapezoid shown is ?