
This is an equation of a parabola that opens upwards.

Answer:
17 is the length of the hypotenuse.
Step-by-step explanation:
The pythagora theorem tells us a²+b²=c², where C is hypotenuse.
Replace the given info into the formula:
8² + x² = (x+2)²
64 + x² = x² + 4x + 4
64 - 4 = 4x
60 = 4x
x = 60/4
x = 15
Hypotenuse length is 15+2=17
C= -1 because when you add 38 to the other side you are left with -75c=75 then divide by -75 and you are left with -1
- Answer: 1/24 1/3
Step-by-step explanation:
Answer:
The turning point of the graph is at (3,-16)
Step-by-step explanation:
The general equation of curve is given as:
y = x² + ax + b
The two point for which the equation satisfies is (0,-7) and (7,0).
Substitute (0,-7) in the general equation:
y = x² + ax + b
-7 = 0² + a(0) + b
b = -7
Substitute (7,0) in the general equation:
y = x² + ax + b
0 = 7² + 7a + b
Where b = -7
0 = 49 + 7a - 7
0 = 42 + 7a
a = -6
The equation of the curve is:
a = -6 and b = -7
y = x² + ax + b
y = x² - 6x - 7
Graph of the equation is attached below.
We can see that the the turning point of the graph is at (3,-16)