Bonus: 2 points for vertex form or standard form, 5 points for both
1 answer:
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Answer:
- y = (x -3)² -5
- y = x² -6x +4
Step-by-step explanation:
The vertex form of the quadratic equation is ...
y = a(x -h)² +k . . . . . . . . . vertex (h, k); vertical scale factor 'a'
Given the vertex, we can find the scale factor by substituting the given point values:
11 = a(-1 -3)² -5
11 = 16a -5
a = (11 +5)/16 = 1
So, the vertex form equation is ...
y = (x -3)² -5 . . . . . vertex form
Expanding this gives the standard form.
y = x² -6x +9 -5
y = x² -6x +4 . . . . . standard form
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