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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Answer:
y =

+
Explanation:The slope-intercept form of the equation has the following formula:y = mx + c
where:
m is the slope
c is the y-intercept
The given is:17x + 15y = 5
To put it in the slope-intercept formula, we should isolate the y as follows:17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y =

+

where:
m is the slope = -17/15
c is the y-intercept = 1/3
Hope this helps :)
Answer:
x -4 -3 -2 -1 0 1 2 3 4
y -54 -20 -4 0 -2 -4 0 16 50
at 4 it is maximum .
maximum value=50
hope that helps
Answer:
i just took the test the answer is yes i did not know that
Step-by-step explanation:
it is responsible
<h2>rip </h2><h3>plz make brainlyest</h3><h3 />
the answer is D. 35 cm not everyone has the same answer !