One possible equation for this quadratic would be
y=(x-4)²-1. This is vertex form: y=a(x-h)²+k, where (h, k) is the vertex.
However, this is not the only possible equation. There could be multiple values for a, in front of the parentheses, that we don't know about from the information we are given.
We can also write this equation in standard form (y=ax²+bx+c). First write the squared binomial as the product of two binomials:
y=(x-4)(x-4)-1
Multiply the binomials:
y=x*x-4*x-4*x-4(-4)-1
= x²-4x-4x--16-1
= x²-8x+16-1
= x²-8x+15
Again, this would change depending on what the value of a is in the functoin.
Perimeter: 2w+2l
We know the width and the perimeter, which is 18 and 76, so let's plug it in.
76=2(18)+2l
76=36+2l isolate the variable x!
40=2l
20=l
every length is 20 inches.
Answer:
True
Step-by-step explanation:
2/3 of 72 in 48 and then subtract 6 and you get 42
Hope this helped...
Answer:
Option 2 is the correct answer
Step-by-step explanation:
A quadratic function is a function in which the highest power to which the variable is raised is 2
1) f(x) = −8x3 − 16x2 − 4x
The given function is a cubic function because the highest power
to which the variable,x is raised is 3
2) f(x) = 3x²/4 + 2x - 5
The given function is a quadratic function because the highest power
to which the variable,x is raised is 2
3) f(x) = 4/x² - 2/x + 1
It can be rewritten as
f(x) = 4x^-2 - 2x^-1 + 1
The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2
4) f(x) = 0x2 − 9x + 7
It can be rewritten as
f(x) = - 9x + 7
The given function is not a quadratic function because the highest power to which the variable,x is raised is 1
Without graphing, it is evident that the line given by the equation f(x) = 5x – 2 does not pass through point (a) but passes through point (b)
To do this, we need to check if the value of x yields that of y in each pair of coordinates when inserted in the function, f(x) = 5x – 2.
For point (a):
defined by coordinates (1,5)
Therefore, by substituting the value of x into:
f(x) = 3.
For point (b):
defined by. coordinates (-2, -12)
Therefore, by substituting the value of x into:
f(x) = 5x – 2,
f(x) = 5(-2) - 2
f(x) = -12
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