The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
<h3>What is vertex of parabola?</h3>
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
More about vertex :
brainly.com/question/86393
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Answer:
Interval?
Step-by-step explanation:
Answer:
1. - completed
2. expanded = a · a · a · a
3. base = a | exponent = 5 | expanded = a · a · a · a · a
4. - completed
5. base = c | exponent = 3 | expanded = c · c · c
6. base = c | exponent = 4 | expanded = c · c · c · c
7. base = m | exponent = 2 | expanded = m · m
8. base = m | exponent = 3 | expanded = m · m · m
9. power = y⁵ | base = y | exponent = 5
10. power = y⁸ | expanded = y · y · y · y · y · y · y · y
hope this helps ! brainliest ?
8*.8=6.4
4x+6.4=40
40-6.4=33.6
33.6/4=x
8.4=x
Hope this helps :)
