SOLUTION: The graph of y = - 5 x squared + 9 passes through (1, 2a) in the standard (x, y) coordinate plane. What is the value of a? Answer choices: A. 2 B. 4 c. 7 D. -1 E. -8 I

Algebra ->  Rational-functions -> SOLUTION: The graph of y = - 5 x squared + 9 passes through (1, 2a) in the standard (x, y) coordinate plane. What is the value of a? Answer choices: A. 2 B. 4 c. 7 D. -1 E. -8 I      Log On


   



Question 973148: The graph of y = - 5 x squared + 9 passes through (1, 2a) in the standard (x, y) coordinate plane. What is the value of a?
Answer choices:
A. 2
B. 4
c. 7
D. -1
E. -8
I'm confused about how to most directly find this variable.
Thank you for any help with this.
Helen

Found 2 solutions by amarjeeth123, solver91311:
Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
The graph of y=-5x^2+9 passes through (1, 2a) in the standard (x, y) coordinate plane.
Substituting x=1 in the equation.
When x=1 we have y=-5+9=4
2a=4
a=2
Answer = (A)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If a point is on the graph of then .

Substitute your given -coordinate for in the expression for your function and do the arithmetic to determine the value of . Whatever value you get for must then be equal to because the point is an element of the set of points that comprise the graph.

John

My calculator said it, I believe it, that settles it