Question

What is the equation of the quadratic function represented by this table?

Answer 1

Step-by-step explanation:

$y = a {(x - h)}^{2} + k$

$vertex = (h \: \: \: k)$

from the table

$vertex = ( - 2 \: \: \: 4)$

therefore

$h = - 2 \: \: and \: \: k = 4$

$y = a {(x + 2)}^{2} + 4$

when x= 0, y = 3

$3 = a {(2)}^{2} + 4$

$3 = 4a + 4$

$a = \frac{ - 1}{4}$

therefore equation of the function

$y = - \frac{1}{4} {(x + 2)}^{2} + 4$