Mathematics
Grade10
Easy
Question
Find the axis of symmetry of graph g(x) = -2(x - 1)2 + 4.
- x = 1
- y = 3
- x = 0
- y = 0
The correct answer is: x = 1
f(x)=-2(x-1)2 +4 is the function having vertex at (1,4)
x-1 =0 x =1
The axis of symmetry will pass through the vertex.
As the graph is of the type f(x)=-x2 so the axis of symmetry will be parallel to y-axis.
Therefore, x=1 is the axis of symmetry.
The vertex of the graph is (1, 4).
The axis of symmetry of the graph is x = 1.
Related Questions to study
Mathematics
The axis of symmetry intersects that divides the graph of f(x) = 2x2 + 5 is _______.
The axis of symmetry intersects that divides the graph of f(x) = 2x2 + 5 is _______.
MathematicsGrade10
Mathematics
Find the vertex of f(x) = (x - 4)2 + 9.
Find the vertex of f(x) = (x - 4)2 + 9.
MathematicsGrade10
Mathematics
The graph of the function f(x) = - 2(x - 3)2 + 5 is
The graph of the function f(x) = - 2(x - 3)2 + 5 is
MathematicsGrade10
Mathematics
In which part will the graph of quadratic function d(x)=0.8x2 increase?
In which part will the graph of quadratic function d(x)=0.8x2 increase?
MathematicsGrade10
Mathematics
What is the value of g(x) when x =3 if the function is defined as g(x)=6x2?
What is the value of g(x) when x =3 if the function is defined as g(x)=6x2?
MathematicsGrade10
Mathematics
What intersects the vertex and divides the parabola in half?
What intersects the vertex and divides the parabola in half?
MathematicsGrade10
Mathematics
______________.
______________.
MathematicsGrade10
Mathematics
Graph f(x) = x2 + 6 is a translation of the parent function but is moved ________.
Graph f(x) = x2 + 6 is a translation of the parent function but is moved ________.
MathematicsGrade10
Mathematics
The graph of f(x)=3.5x2 _________.
The graph of f(x)=3.5x2 _________.
MathematicsGrade10
Mathematics
What can be the value of a if the graph of f(x) = ax2 opens upward and is narrower than the quadratic parent function?
What can be the value of a if the graph of f(x) = ax2 opens upward and is narrower than the quadratic parent function?
MathematicsGrade10
Mathematics
What is the vertex of the function g(x) = (x - h)2?
What is the vertex of the function g(x) = (x - h)2?
MathematicsGrade10
Mathematics
How does the function h(x) = - 3(x - 1)2 + 7 compare to the parent function?
How does the function h(x) = - 3(x - 1)2 + 7 compare to the parent function?
MathematicsGrade10
Mathematics
The axis of symmetry of a quadratic parent function is ___________.
The axis of symmetry of a quadratic parent function is ___________.
MathematicsGrade10
Mathematics
The vertex of f(x) = 3.5(x + 2)2 - 5 is _____________.
The vertex of f(x) = 3.5(x + 2)2 - 5 is _____________.
MathematicsGrade10
Mathematics
MathematicsGrade10