Is it Quadratic

Is it Quadratic?

What is a Quadratic Equation?

A quadtric equation or function has a variable with an exponent of 2.
It is written in the form:
y = ax² + bx + c where a,b,c are any real numbers

What is a Quadratic Equation?

The following are examples of quadratic equations

y= 2x²

y = x² + 3x + 5

y = -5x² - 2

y = x(x + 4) Notice the last example if you multiplied it out it equals y = x² + 4x

What is a Quadratic Equation?

The following are NOT quadratic equations

y= 2x It is a Linear equation (has no x²)

y = 3x³ + x² + 5x It is a Cubic equation (has x³ in it)

x² + y² = 4 It is a circle (it has x² and y² in it)

Multiple Choice

Is this a quadratic equation?

y = -4x²

• Yes

• No it is a linear equation

• No it is a cubi equation

Multiple Choice

Is this a quadratic equation?

y = 3x + 5

• Yes

• No it is a linear equation

• No it is a cubic equation

Multiple Choice

Is this a quadratic equation?

y = x² + 4x + 3

• Yes

• No it is a linear equation

• No it is a cubic equation

Multiple Choice

Is this a quadratic equation?

y = x³ + x² + x + 2

• Yes

• No it is a linear equation

• No it is a cubic equation

Multiple Choice

Is this a quadratic equation?

y =x² + 3x + 2

• Yes

• No

Multiple Select

Which of the following are quadratic equations

• y = x² + 2x

• y = 4x - 2

• y = x⁴ + 2x² + 3

• y = -x²

• x² + y² = 1

The shape of a quadratic graph is called a

Parabola

It is a U shape

​

​Quadratic Graphs

The parabola can also be upside down

​

​Quadratic Graphs

You see Parabolas all around in real life

​

​Quadratic Graphs

Multiple Choice

Is this graph quadratic?

• Yes

• No

Multiple Choice

Is this graph quadratic?

• Yes

• No

Multiple Choice

Is this graph quadratic?

• Yes

• No

Multiple Choice

Is this graph quadratic?

• Yes

• No

Multiple Choice

Is this graph quadratic?

• Yes

• No