Answer:
Vertex of the parabola is ( 1 , 14 ).
Step-by-step explanation:
Given Equation of parabola is
We have to find the vertex of the parabola.
We first convert the given equation of parabola in standard equation of parabola using completing the square method.
Standard equation of parabola,
here, ( h , k ) is coordinates of the vertex of the parabola.
consider,
y = -2x² + 4x + 12
y = -2( x² - 2x - 6 )
y = -2 ( x² - 2x + 1² - 1² - 6 )
y = -2 ( x -1 )² - 7 × ( -2 )
y - 14 = -2 ( x - 1 )²
By comparing,
vertex = ( 1 , 14 )
Therefore, Vertex of the parabola is ( 1 , 14 ).
According to the vertex and the directrix of the given parabola, the equation is:
The equation of a quadratic function, of vertex (h,k), is given by:
In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:
The directrix is at y = 7, hence:
Hence, the equation is:
More can be learned about the equation of a parabola at brainly.com/question/26144898
Answer:
4
similar right triangles
Step-by-step explanation:
Answer:
hope it helps forget about my writing
