Answer:
f(x) underwent a downward vertical translation to get g(x)
Step-by-step explanation:
here, we want to describe a transformation
Looking at the two equations, we can notice that the difference between the two is the -17
Practically, we have this difference as 17 subtracted from the second equation
what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph
No problem. Since the - and + cancel and become a -, you get
3-4
which is -1
Hope this helped.
If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
<h3>Discriminant: </h3>
The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.
The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by
<h3> Discriminant Δ = b² - 4ac </h3>
Here we have
x² + 16x + c = 0 equation has only one real solution
Compare given equation with ax²+ bx + c = 0
=> a = 1, and b = 16
As we know when an equation has only one real solution
then its Discriminant will be equal to zero
=> b² - 4ac = 0
By the above values,
=> 16² - 4(1)c = 0
=> 256 - 4c = 0
=> 4c = 256
=> c = 256/4
=> c = 64
Therefore,
If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
Learn more about Discriminant at
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