Write the standard form of the quadratic equation modeled by the points shown in the table below.
2 answers:
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
General form of a quadratic is:
y = Ax² + Bx + C
- Using the given points, construct equations and solve for A,B and C.
- When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
You might be interested in
Logically, he would owe 14 less each week
Let x = # of weeks passed
Algebraic Expression: 141 - 14x =
Week 1: 141 - 14 = 127
Week 2: 141 - 14(2) = 113
Week 3: 141 - 14(3) = 99
etc.....
Hope this helps
Answer:
0.07 m
Step-by-step explanation:
7 cm to m
Divide 7 by 100 (°•° 1m=100cm)
=7/100
=0.07
Answer:
17 people
Step-by-step explanation:
135-50=85
85/5=17
Answer:
24 CDs
Step-by-step explanation:
if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...
if I get it wrong my bad its 2 am
Y=180-69=111
4x+7=y
4x+7=111
4x=111-7
4x=104
X=26
Answer: x=26, y=111
