The complete question is
"which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33
Oa. The equation has a maximum value with a y coordinate of -27
Ob. The equation has a minimum value with a y coordinate of -21
Oc. the equation has a minimum value with a y coordinate of -27
Od. The equation has a maximum value with a y coordinate of -21"
The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.
<h3>What is a quadratic equation?</h3>
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given quadratic equation is
y=-3x^2+12x-33
x = -b/2a
For the given equation the vertex :
x = -12/2(-3) = 2
The value of y at x = 2 is:
y = -3(2²) + 12(2) - 33
y = -12 + 24 - 33
y = -21
The extreme is the maximum for the given equation.
The correct choice is D.
Learn more about quadratic equations;
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Answer:
2(k^8)
Step-by-step explanation:
Use bidmas9 + 4*42 - 5
9 + 168 - 5
172
Answer:
3.4*10^1159
Step-by-step explanation:
2,000,000 x 10,000 x 170 x 10E1146
2,000,000 x 10,000 = 2*10^10
2*10^10*170 =340*10^10
Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent
3.4*10 ^ (10+2)
3.4*10^12
10E 1146 means 10*10^1146
This is really 1 * 10^(1146+1)
3.4*10^12 * 10^1147
We add the exponents
3.4*10^(12+1147)
3.4*10^1159
1 yard = 3 feet
0.034 yard = 0.102 feet
0.034 yard to 60 feet
= 0.102 : 60
= 51 /30 000
Answer = 17 /10 000