Question

Look at the graph given below:


The equation of the graph is .

• A. $y=5x^2+2$
• B. $y=0.5x^2+2$
• C. $y=50x^2+2$
• D. $y=1.5x^2+2$

Answer 1

The correct option is B $y=0.5x^2+2$


From the graph, we observe:

$Atx=-4,y=0.5(-4{)}^2+2=10$

$Atx=-2,y=0.5(-2{)}^2+2=4$

$Atx=0,y=0.5(0{)}^2+2=2$

$Atx=2,y=0.5(2{)}^2+2=4$

$Atx=4,y=0.5(4{)}^2+2=10$

Observing the equation, we see:
$\text{It is of the form y}=0.5x^2+2$

Hence, we can say that equation representing the given graph is
$0.5x^2+2$.