Write a quadratic function from its vertex and another point
Asked by admin @ in Mathematics viewed by 334 People
Write a quadratic function in vertex form whose graph has the vertex (-2,-4 ) and passes through the point (-1,-6)
Asked by admin @ in Mathematics viewed by 334 People
Write a quadratic function in vertex form whose graph has the vertex (-2,-4 ) and passes through the point (-1,-6)
Answered by admin @
Answer:
.
Step-by-step explanation:
The vertex form of a quadratic function is in the form
,
where
In this question, the vertex of this quadratic function is at the point . In other words, and . Substitute these value into the general equation:
.
Simplify to obtain:
.
The only missing piece here is the coefficient . That's likely why the problem gave , yet another point on this quadratic function. If this function indeed contains the point , should be equal to when . That is:
.
Solve this equation for :
.
Hence the equation of the quadratic function in its vertex form:
.
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