Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 2(x - 3)² - 4 ← is in vertex form
with (h, k) = (3, - 4), thus
1 the vertex is (3, - 4 )
Consider the value of a
• If a > 0 then graph opens up and is a minimum
• If a < 0 then graph opens down and is a maximum
2 Here a = 2 thus the graph opens up
The max/ min value of the function is the y- coordinate of the vertex, thus
3 The function has a minimum value of - 4
No because if you look at it flipped and do 100/4=25 then 100/5= 20 so 20 and 25 aren’t the same
(5/5)%=100%=500
(4/5)%=80%=400
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
<h3>
What can we say about the x-intercepts of the given functions?</h3>
For a function f(x), the x-intercept is the value of x such that:
f(x) = 0.
Here we have:
p(x) = log₂(x - 1)
Remember that:
logₙ(1) = 0
For any base n, then the x-intercept of p(x) is x = 2, because:
p(2) = log₂(2 - 1) = log₂(1) = 0.
The other function is:
g(x) = 2ˣ - 1
Remember that any number to the power of zero is equal to 1, then:
g(0) = 2⁰ - 1 = 1 - 1 = 0
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
If you want to learn more about x-intercepts:
brainly.com/question/3951754
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