$\mathrm{Function~of~the~form} ~ f(x) = ax^{2} + bx + c, ~ a \neq 0, ~ \mathrm{is~ called~a~quadratic~function.}\\\mathrm{The~top} ~ (x_{0}; \ y_{0}) ~ \mathrm{of~this~function~can~be~found~by~the~formulas \colon}$

$x_{0} = \dfrac{-b}{2a};$

$y_{0} = ax_{0}^{2} + bx_{0} + c ~ \mathrm{or} ~ y_{0} = -\dfrac{b^{2} - 4ac}{4a}.$

$\mathrm{So,~for~the~function} ~ g(x) = 3x^{2} - 12x + 7 ~ \mathrm{we~have \colon}$

$x_{0} = \dfrac{-(-12)}{2 \cdot 3} = \dfrac{12}{6} = 2;$

$y_{0} = 3 \cdot 2^{2} - 12 \cdot 2 + 7 = -5.$

$Answer \colon (2; \ -5) \ \blacktriangle$

7 0

4 years ago

Write an equation that gives the cost y of renting a car for x days from Rent-All?

krok68 [10]

Y=1x

I think this is the answer.

5 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (3, 4) and (4,6)? Put

erastovalidia [21]

Slope = 6-4/4-3 = 2
i think u mean slope int form by fully reduced
y-4=2(x-3)
y-4=2x-6
y=2x-2 is the answer

8 0

3 years ago