Find the vertex of the parabola that represents a function f(x)=(x-5)^2+9
1 answer:
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Answer:
<u>The correct answer is B. 150 cm.</u>
Correct statement, question and diagram:
The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is <em>h, </em>the height of the window in centimeters?
A. 66 cm
B. 150 cm
C. 186 cm
D. Not here.
Source:
Question that can be found at quizizz
Step-by-step explanation:
Let's recall that if the door and the window in it are similar rectangles, then we have:
60/84 = h/210
84 * h = 210 * 60
84h = 12,600
h = 12,600/
h = 150 cm
<u>The correct answer is B. 150 cm.</u>
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
