The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
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Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
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Answer:
Step-by-step explanation:
you would show x and y lines and title frequency to side and colours to bottom
0-40 on the y axis title is frequency
and on bottom graph put the colours. red blue and green always using equal intervals for names or time or colours along the x axis.
Answer:
45
Step-by-step explanation:
Answer:
a transformation is a <u>rotation</u><u> </u><u>or</u><u> </u><u>reflection </u> to the <u>posit</u><u>ion</u> or co-ordinates of a figure