Mathematics
Grade10
Easy
Question
Write the function in vertex form.
- f(x) = - (x - 2)2 + 5
- f(x) = (x - 2)2 + 5
- f(x) = (x - 2)2
- f(x) = x + 52
The correct answer is: f(x) = - (x - 2)2 + 5
Since vertex is (2, 5), then h = 2 and k = 5
The function will be f(x) = a(x - 2)2 + 5
The value of a such that f(x) = a(x - 2)2 + 5 passes through (3, 2) is a = - 3
So, the function is f(x) = - 3(x - 2)2 + 5
Related Questions to study
Mathematics
For |a|>1, the shape of the parabola is ______ than the parent function.
For |a|>1, the shape of the parabola is ______ than the parent function.
MathematicsGrade10
Mathematics
The area of the given figure will be _________.
The area of the given figure will be _________.
MathematicsGrade10
Mathematics
Find the axis of symmetry of graph 
.
Find the axis of symmetry of graph .
MathematicsGrade10
Mathematics
Find the vertex of 
.
Find the vertex of .
MathematicsGrade10
Mathematics
The degree of a quadratic function is ______.
The degree of a quadratic function is ______.
MathematicsGrade10
Mathematics
What is the factored form of 5x2-3x-2
What is the factored form of 5x2-3x-2
MathematicsGrade10
Mathematics
The quadratic function f(x)=-0.17x2 is the reflection of __________ over the x-axis.
The quadratic function f(x)=-0.17x2 is the reflection of __________ over the x-axis.
MathematicsGrade10
Mathematics
For 0<|a|<1, the shape of the parabola is ______ than the parent function.
For 0<|a|<1, the shape of the parabola is ______ than the parent function.
MathematicsGrade10
Mathematics
The graph of a quadratic function is a ________.
The graph of a quadratic function is a ________.
MathematicsGrade10
Mathematics
Which of the following is true about the quadratic function f(x)=ax2+bx+c.
Which of the following is true about the quadratic function f(x)=ax2+bx+c.
MathematicsGrade10
Mathematics
Which quadratic function is 3 units right to the parent function?
Which quadratic function is 3 units right to the parent function?
MathematicsGrade10
Mathematics
The vertex of the quadratic parent function is _____.
The vertex of the quadratic parent function is _____.
MathematicsGrade10
Mathematics
The graph f(x) = x2 - 4 is a translation of the parent function but is moved ________.
The graph f(x) = x2 - 4 is a translation of the parent function but is moved ________.
MathematicsGrade10
Mathematics
Find the perimeter of the rectangle.
Find the perimeter of the rectangle.
MathematicsGrade10
Mathematics
The axis of symmetry of a quadratic parent function is ___________.
The axis of symmetry of a quadratic parent function is ___________.
MathematicsGrade10
