Question

URGENT
derive a function from this graph

Answer 1

Now i know the zeros are 5 and -5
thus
-X^2 - 25 but i can't seem to get the right vertex

Answer 2

@Nnesha

Answer 3

that's a half circle with radius 5

Answer 4

\[\large\rm x^2+y^2=25\] equation of a circle with center (0,0) and radius 5
solve the equation for y and you will get the equation for a semi-circle

Answer 5

yeah i know that. we have to derive a function from that part of the circle..

Answer 6

do you need help with solving de equation for y?

Answer 7

i need to find the function for the graph only i don't want the whole equation of the circle i need the equation that represents the graph

Answer 8

yes you will get that once u solve for y.

Answer 9

\[\huge\rm x^2+y^2=r^2\] equation for a circle
solving for y will give you \[y=\pm \sqrt{r^2-x^2} \]
where \[\large\rm y=\sqrt{r^2-x^2} ~~upper~part~of ~a~ circle \]
\[\large\rm y=-\sqrt{r^2-x^2} ~~lower~half~of ~a~ circle \]

Answer 10

y^2 + x^2 = 25
y^2 = -x^2 + 25
y = sqrt(-x^2+25)
Jesus that's clever

Wait do i have to put before the sqrt + or -?

Answer 11

so solve the equation for y
1st) subtract x^2 both sides
2nd) take square root both sides to cancel out the square

Answer 12

yes whenever we take square root we get plus/minus answer
but for this graph you just need the upper half of a circle so you need the one with + sign

Answer 13

Awesome... Thank youuu

Answer 14

yw