Question

The x-axis ranges from negative 4 to 4 in unit increments. The
y-axis ranges from 0 to 2 in unit increments. The curve passes
through the data points left parenthesis negative 4 comma 0
right parenthesis, left parenthesis 0 comma 1 right parenthesis,
and left parenthesis 4 comma 1 point 4 right parenthesis. All
values are approximate.
Rhianna graphed a square root function. What is the equation of
the function she graphed?
(1 point)
y = 2 x + 4
−−−−− √
y =
1
2
x − 4
−−−−− √
y =
1
2
x + 4
−−−−− √
y = 2 x − 4
−−−−−

Answer 1

y = (1/2)√(x + 4)

Reason: the curve starts at (−4,0) so it's of form y = a√(x+4). Using (0,1): 1 = a√4 = 2a, so a = 1/2. This gives y = (1/2)√(x+4), which yields ≈1.414 at x = 4.