Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
1 answer:
You might be interested in
The volume of cube is 1000 cubic feet
<em><u>Solution:</u></em>
Given that,
<em><u>The volume of cube is given by formula:</u></em>
Where,
V is the volume of cube
"s" is the length of one side
<em><u>What is the volume of a cube if the length of a side s is 10 feet</u></em>
Given, s = 10 feet
<em><u>Substitute s = 10 in given formula,</u></em>
Thus volume of cube is 1000 cubic feet
Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation
or
We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value
The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values
