Question

Choose the correct graph of the function y=-1/2√x+3+2

Answer 1

Find y intercept

$\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2$

$\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2$

$\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2$

$\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}$

$\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}$

$\\ \rm\rightarrowtail y=\dfrac{2.368}{2}$

$\\ \rm\rightarrowtail y=1.184$

• y intercept=(0,1.2)

Option A