Question

Convert the equation from vertex form to standard form
y = −4(x + 5) − 3. (1 point)
2
y = −4x − 40x − 103
2
y = −4x − 25x − 3
2
y = 16x + 160x + 412
2
y = 16x + 160x + 397

Answer 1

Assuming the squared term was omitted in the text, expand y = −4(x + 5)^2 − 3:

(x + 5)^2 = x^2 + 10x + 25
−4(x^2 + 10x + 25) − 3 = −4x^2 − 40x − 100 − 3 = −4x^2 − 40x − 103

So the standard form is y = −4x^2 − 40x − 103 (the first choice).