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Free_Kalibri [48]
3 years ago
13

What transformation takes the graph of g(x) = x2 – 5 to the graph of h (x) = x² – 1

Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

We need the following translation: h(x) = g(x) +4

Step-by-step explanation:

To transform g(x) into h(x), we need must apply the following translation:

h(x) = g(x) +4 (1)

If we know that g(x) = x^{2} -5, then the expression of h(x) is:

h(x) = x^{2}-5 +4

h(x) = x^{2}-1 (2)

Which demonstrates the affirmation.

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4 years ago
Circumcenter of triangle with vertices of (1,1) (1,-3) (7,-3)
Natali [406]

Answer:

The circumcenter is (-17/2, -15/2)

Step-by-step explanation:

To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are A(1,1), B(0,2), and C(3,-2).Midpoint of AB = (1/2, 3/2)  - You can get the midpoint by getting the average of x-coordinates and y-coordinates. Slope of AB = -1Slope of perpendicular bisector = 1Equation of AB with slope 1 and the coordinates (1/2, 3/2) isy - (3/2) = (1)(x - 1/2) y = x+1Do the same for ACMidpoint of AC = (2, -1/2)Slope of AC = -3/2Slope of perpendicular bisector = 2/3Equation of AC with slope 2/3 and the coordinates (2, -1/2) isy - (-1/2) = (2/3)(x - 2) y = -11/6 + 2x/3So the perpendicular bisectors of AB and BC meety = x+1y = -11/6 + 2x/3To solve for x,(-11/6 + 2x/3) = (x+1)x= -17/2Now get y by substituting y = (-17/2) + 1y = -15/2

7 0
4 years ago
Which is not a correct way to represent the relation "the second number is 1 less than three times the first number"?
Debora [2.8K]

Answer:

3x-1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASEHELP!<br><br><br> ANSWER CHOICES:<br> A)189<br> B)329<br> C)161<br> D)84
kipiarov [429]

Answer:

329

Step-by-step explanation:

6 0
3 years ago
Which property is used in this statement? if k/2=5, then k=10
Otrada [13]
Property of equality
k=k
10/2=5
5=5
3 0
3 years ago
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