Write quadratic equation in standard form vertex (1,-6) passes through the point (4,21)

Step-by-step explanation:

Use the quadratic equation in vertex form:

  where (h, k) are the coordinates of the vertex

Therefore, substituting h = 1 and k = -6 into the equation:

Now substituting the point (4, 21) to find :

Therefore, the final equation is:

Expanding out the brackets and collecting like terms, this can be written as:  

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: