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alesiabarrios6
17.12.2020 •
Mathematics
PLS i need help ! Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept. y=-2x^2+12x-26
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Ответ:
The equation of the polynomial in vertex form is
, its vertex is
.
The expression of the axis of symmetry is
.
The y-intercept of the function is -26.
Step-by-step explanation:
The vertex form of the second order polynomial is defined by the following expression:
Where:
Let
, then we proceed to present the produre for the determination of the vertex form:
1)
Given
2)![y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)](/tpl/images/0993/4491/7b5cc.png)
/![(-a)\cdot b = -a\cdot b](/tpl/images/0993/4491/4ded0.png)
3)
Distributive property
4)
Associative and distributive properties
5)![y = (-2)\cdot [(x^{2}-6\cdot x+9)+4]](/tpl/images/0993/4491/dd008.png)
![(-a)\cdot b = -a\cdot b](/tpl/images/0993/4491/4ded0.png)
6)
Perfect square trinomial
7)
Distributive property
8)![y = (-2)\cdot (x-3)^{2}+(-8)](/tpl/images/0993/4491/a8ed2.png)
![(-a)\cdot b = -a\cdot b](/tpl/images/0993/4491/4ded0.png)
9)
Compatibility of addition/Existence of the additive inverse/Modulative property/Result.
The equation of the polynomial in vertex form is
, its vertex is
.
The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is
.
The y-intercept is the value of the polynomial when
, then, the value is:
The y-intercept of the function is -26.
Ответ:
the first and third option
Step-by-step explanation:
In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2
To make it spicier this ratio has to be higher than the initial ratio
Ratio in the first option : 1/2 : 1 = 1 : 2
option 2 : if both recipes are double, the proportion of ingredients remain the same
oprion 3 : 1 : 3
option 4 : 1 : 1
option 5 : 1 : 5/3