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Medha Agarwal

Learnt about

1 quadratic functions
2 the steps to sketch a graph
3 the points necessary for sketching the graph, the vertex, intercept, coordinates
4 the shape of graphs and how one can plot them accordingly

# data[].attributes.body
We learnt about
1. the difference between expressions, equations and functions
2. sketching quadratic graphs with the help of -shape -intercepts -turning point/ vertex
3. how to find the turning points and x/y intercepts
4. how the shape of the quadratic function is a parabola and is u if positive and n if negative

# data[].attributes.body
learnt about expressions, functions and equations
sketching quadratic graphs; 3 steps, shapes, intercepts and turning point.
how to find the turning point
the difference between sketching a graph and drawing a graph.

# data[].attributes.body
Learnt about various steps on how to sketch a quadratic function. The steps involve:-
General Shape (U is Positive, N is Negative)
X intercept
Y intercept
Vertex

The speed of the class was perfectly fine. All the concepts were clear.

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Sketching Quadratic Graphs:-
Step 1: The Shape
-The shape of the parabola depends on the co-efficient of x. If it is positive, the the shape of the parabola if a 'U' but if it is  negative, then the shape of the parabola is a 'n'.
Step 2: Intercepts
X intercept (roots): the point where the graph meets the x-axis. The y co-ordinate is 0.
Once the equation is solved, you will get two values of x.
Y intercept: the point where the graph meets the y-axis. The x co-ordinate is 0.
f(x)=0
substitute 0 in the main equation to get the value of y.
Step 3: Vertex
calculate the average of the two values of x . substitute the value of x in the equation to get the value of y. the coordinates is your vertex.

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- I know the difference between expression, equations and function.
Expressions: can only be factorised
Equations : can be solved. The solutions are the x-intercepts if function that is equivalent to the equation.
Function :  can be sketched/plotted
Ax² + bx + c
If A > 0 the curve will be U shaped.
If A < 0 the curve will be n shaped.

The roots of the function are the x intercepts while the y intercept occurs when x =0

The turning point is the line of symmetry and the x intercept is the average of the 2 x intercepts.

# data[].attributes.body
we learned about:
1. learned about expressions, functions, and quadratic equations
2. about sketching quadratic graphs and the 3 characteristics: shape, intercepts, and turning point.
3. we learned how to find the turning points and how to solve the equations.

# data[].attributes.body
Learned how to sketch the quadratic graphs
1) shape known as parabola
2) positive or negative shaped parabola
3) x-intercept & y-intercept
4) turning point of graph is to b known as the vertex.

# data[].attributes.body
Learnt how to sketch a quadratic function. There are four steps
1] Determine the co-efficient of x2. if its positive...the graph would be U shaped.if its negative...the graph would be n shaped
2]Find the x intercepts by equating the function to zero and solving the quadratic.
3]find the y intercept by substituting 0 for x
4]Find the turning point by taking the average of the roots.take the average and substitute in the function.

# data[].attributes.body
what I learned  in the class today-
>the difference between sketching a graph and drawing the graph
>the factors one needs to sketch the graph.
>how the shape of a quadratic function is a parabola(it can be of 2 types depending on the value of the co-efficient in front of the x^2
>how to find the turning point and why is it important for a definitive sketch of the graph.