Answer:
y = - (x + 1)²
Step-by-step explanation:
Vertex form of a parabola is given by,
y = -(x - h)² + k
Where (h, k) is the ordered pair representing vertex.
(-) sign denotes that the parabola is opening downwards.
If the coordinates of the given parabola is (-1, 0)
Equation of the parabola will be,
y = - (x + 1)² + 0
y = - (x + 1)²
Therefore, equation of the parabola will be, y = - (x + 1)²
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
Answer:
-19
Step-by-step explanation:
