The graph shows the function f(x) = (2.5)^x was horizontally
2 answers:
Answer:
h must be equal to - 2.
Step-by-step explanation:
See the attached graph.
The original function ........... (1) is plotted in the graph denoted by the blue curve.
And the translated curve to the original function i.e. ............ (2) is plotted in the graph denoted by the red curve.
Now, the blue curve passes through the point (0,1) point and the red curve passes through the point (-2,1) point.
Therefore, the x-coordinate gets reduced by 2 units in the translated curve corresponding to a certain y-coordinate.
Therefore, h must be equal to - 2. (Answer)
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Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
