SOLUTION: Which quadratic function in vertex from can be represented by the graph that has the vertex at (0, -4) and passes through the point (3, -7)? A. y = -1/3x^2 - 4 B. y = 1/3(x +

Algebra.Com
Question 1206388: Which quadratic function in vertex from can be represented by the graph that has the vertex at (0, -4) and passes through the point (3, -7)?
A. y = -1/3x^2 - 4
B. y = 1/3(x + 4)^2
C. y = 1/3x^2 - 4

D. y = -1/3(x + 4)^2
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Which quadratic function in vertex from can be represented by the graph that has
the vertex at (, ) =>,
passes through the point (,)=(,)=>,
use vertex form formula
...substitute given ,
, ,







go to
...substitute , ,



answer: A



Answer by ikleyn(52852)   (Show Source): You can put this solution on YOUR website!
.
Which quadratic function in vertex from can be represented by the graph
that has the vertex at (0, -4) and passes through the point (3, -7)?
A. y = -1/3x^2 - 4
B. y = 1/3(x + 4)^2
C. y = 1/3x^2 - 4
D. y = -1/3(x + 4)^2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


        This problem is not to make long calculations.
        It is to be solved  MENTALLY  in your head, giving a correct answer in one second. 


The word "Which" in the question means "find/identify one in the list".


The vertext at (0,-4) means that the choice is between (A) and (C),
since (B) and (D) have vertex at x = -4.


Looking at the point (3,-7) , you see that it lies BELOW the level y= -4;
hence, the parabola must be opened downward.


It implies that the ANSWER is (A).


For reability, you can check it: y =  =  = -3 -4 = -7.   ! correct !

Solved.

Once again: the point of this task is to provide a correct answer quicker than you blink an eye.



RELATED QUESTIONS

Which quadratic function in vertex form can be represented by the graph that has the... (answered by greenestamps,Solver92311,MathTherapy)
Find the quadratic function that has a vertex at (-1,3) and whose graph passes through... (answered by Edwin McCravy)
Write a quadratic function in vertex form whose graph has the vertex(-3,5) and passes... (answered by MathLover1)
write an quadratic function that has a vertex(-2,-4) and passes through the points... (answered by josmiceli)
Which quadratic function in vertex form has a vertex at (6, −3) and passes through the... (answered by josgarithmetic)
Which quadratic function in vertex form has a vertex at (−3, 5) and passes through the... (answered by josgarithmetic)
Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)
Find the quadratic function y=f(x) that has the given vertex and whose graph passes... (answered by josgarithmetic)
Find the equation of the quadratic function whose graph passes through the point (-1,3) (answered by josmiceli)