Maths-
General
Easy
Question
The graph shown is a translation of the graph of f(x)=2x2. Write the function for the graph in vertex form
Hint:
The vertex form of a quadratic function is
f(x) = a(x – h)2 + k
Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h,k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.
The correct answer is: Hence, the function of the parabola is g(x) = 2(x-1)2 - 3
h and k are the vertex of the parabola. So, by seeing the graph we can conclude that the vertex is (1,-3).
So, h = 1 and k = -3
Let’s say that function of the parabola is g(x) = a(x-1)2 - 3
As the graph is made by translating f(x)=2x2. So, the value of a = 2
g(x) = 2(x-1)2 - 3
Final Answer:
Hence, the function of the parabola is g(x) = 2(x-1)2 - 3
Related Questions to study
Maths-
The diagonals of a rhombus are 12 cm and 9 cm long. Calculate the length of one side of a rhombus?
The diagonals of a rhombus are 12 cm and 9 cm long. Calculate the length of one side of a rhombus?
Maths-General
Maths-
The graph of h is the graph of g(x)= (x-2)2+6 translated 5 units left and 3 units down.
a. Describe the graph of h as a translation of the graph of f(x)= x2
b. Write the function h in vertex form.
The graph of h is the graph of g(x)= (x-2)2+6 translated 5 units left and 3 units down.
a. Describe the graph of h as a translation of the graph of f(x)= x2
b. Write the function h in vertex form.
Maths-General
Maths-
In ∆ABC, ∠ABC = 90° AD is the median to BC and CE is the median to AB. If AC = 5 cm and AD =
cm, find CE.
In ∆ABC, ∠ABC = 90° AD is the median to BC and CE is the median to AB. If AC = 5 cm and AD = cm, find CE.
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function
f(x)= x2+2
Find the vertex, axis of symmetry and sketch the graph of the function
f(x)= x2+2
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2 -5
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2 -5
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= x2 -1
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= x2 -1
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+0.5
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+0.5
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function.
F(x) = -2(x + 1)2 + 5
Find the vertex, axis of symmetry and sketch the graph of the function.
F(x) = -2(x + 1)2 + 5
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2-2.25
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2-2.25
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2+50
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2+50
Maths-General
Maths-
Solve Graphically :
X+Y= -1
Y-2X=-4
Solve Graphically :
X+Y= -1
Y-2X=-4
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+7
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+7
Maths-General
Maths-
The sides of a right-angled triangle are 2x – 1, 2x, 2x + 1. Find x.
The sides of a right-angled triangle are 2x – 1, 2x, 2x + 1. Find x.
Maths-General
Maths-
How does the graph of f(x) = -3(x - 5)2 + 7 compare to the graph of the parent function
How does the graph of f(x) = -3(x - 5)2 + 7 compare to the graph of the parent function
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= (x-1)2
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= (x-1)2
Maths-General
