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 :
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1) we have to subtract by the number 18p from each of your sides
Like: 10p + 5 - 18p
= 18p -3 -180
This gives us: -8p + 5 = -3
Nextly, we have to subtract by 5 on each of your sides
Like: -8p + 5 - 5
= -3 - 5
This gives us: -8p = -8
Now we have divide by the -8 on each of your sides:
Like: -8p ÷ -8
= -8 ÷ -8
Answer: p = 1
I hope it helped you:)
Answer: Option D is correct. The function equation y= -16x^2 + 9x + 4
is non-linear.
Step-by-step explanation:
It is not linear because it is a quadratic function.
You can see this on the graph in the photo below:
, Hope this helps :)
Have a great day!!
It is 55% because just multiply it by 100.
