What is the nature of the roots for y=2x2-5?

x= , x = -

Step-by-step explanation:

2x^2-5=0

add 5 to both sides

2x^2-5+5=0+5

2x^2=5

(2x^2/2) = 5/2

x^2=5/2

x= , x = -

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

do you have the measurements?