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- anonymous

PLEASE HELP
Your friend, Patricia, is having a hard time understanding the concept behind the domain and range of a parabola. Using complete sentences, explain the meaning of the domain and range of the graph of
y = −x2 + 4x − 21 and how to find both. Keep in mind, your goal is to help Patricia understand the "concepts", not just how to use the steps.

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Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
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- anonymous

- schrodinger

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- anonymous

@ Solmyr
do you know if the parabola is opening upward or downward?

- anonymous

no

- anonymous

if y = - x2 then its downward
if y= + x2... then its upward
note theres also parabola that opens sideways on the left or at the right

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- anonymous

therefore this type of parabola y = −x2 + 4x − 21 is opens upward or downward ?

- anonymous

it is essential to know if the parabola is opening upward or downward or sideways.. :D

- anonymous

Assuming your parabola is y = ax^2 + bx + c: The domain is always all real numbers...
To find range, find the vertex. If it opens upward, the range will be [y-coord. of vertex, infinity) Positive 'a' opens up
If it opens downward, the range will be (-infinity, y-coord. of vertex] Negative 'a' opens downward

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