Which equation defines the graph of y=x^2 after it is shifted vertically 3 units down and horizontally 5 units left? a) y=(x-5)^2 - 3 b) y= (x+5)^2 - 3 c) y=(x-3)^2 - 5 d) y= (x+3)^2 - 5

we have

This is a vertical parabola open upward

the vertex is equal to the origin

The rule of the translation is

that means

the translations is units to the left and units down

therefore

the new vertex of the function will be

The new equation of the parabola in vertex form is equal to

the answer is the option B

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.