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erma4kov [3.2K]
2 years ago
14

Which of the following equations is of a parabola with a vertex at (0, -5)?

Mathematics
2 answers:
Vadim26 [7]2 years ago
8 0
Put 0 for x in each possible choice and see which one gives you y = -5.

The appropriate choice is
  y = x² - 5


_____
Of course, you know the vertex form is
  y = a(x -h)² + k
for vertex (h, k) and scale factor "a".
Then for (h, k) = (0, -5), this is
  y = ax² -5
Only one choice matches that: y = x² -5. (for a=1)
Pavlova-9 [17]2 years ago
8 0
The equation
y =  {x}^{2}  - 5
will have a parabola with a vertex at (0,-5) as the y intercept is - 5. Remember, quadratic equations can often be written in the form
y = a {x}^{2}  + bx + c
Where a is the coefficient of the quadratic, b is the coefficient of the multiple and C is the vertex/y-intercept.
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