The quadratic function in vertex form of a parabola vertex 1,1 and passes through 4,19

y = 2(x - 1)² + 1

Step-by-step explanation:

The equation of a quadratic function 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, 1), thus

y = a(x - 1)² + 1

To find a substitute (4, 19) into the equation

19 = a(4 - 1)² + 1

19 = 9a + 1 ( subtract 1 from both sides )

18 = 9a ( divide both sides by 9 ), thus

a = 2

y = 2(x - 1)² + 1 ← in vertex form

look a the sides they are perpendicular

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.