Algebra 1 - Graphing Quadratic Functions in Standard Form

Algebra 1 - Graphing Quadratic Functions in Standard Form

​Objective & Benchmark

• Analyze and graph quadratics functions in Standard Form

• Write Quadratic Functions in vertex or standard form​

​MA.912.AR.3.6 - Given an expression or equation representing a quadratic function, determine the vertex and zeros and interpret them in terms of a real-world context.

MA.912.AR.3.7 - Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.

Multiple Choice

What do we call the graph of a quadratic function?

• parabola

• linear

• cubic

• sinusoidal

Multiple Choice

What is the maximum/minimum of a parabola called?

• vertex

• point

• top

• bottom

Multiple Choice

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

Multiple Choice

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

Multiple Choice

Which is the vertex of y = x²+ 16x + 71 ?

• (-8, 7)

• (-8, 3)

• (8, 10)

• (16, -2)

Multiple Choice

Find the y-intercept y = x² - 6x + 5

• (0, 8)

• (0, - 6)

• (5, 0)

• (0, 5)

Multiple Choice

Which graph is the function $$y=x^2-6x+5$$  ?

Multiple Choice

Which graph is the function $$y=3x^2-6x+2$$  ?

Multiple Choice

Which graph is the function $$y=x^2-4x+5$$  ?

Multiple Choice

Graph the quadratic.

• A

• B

• C

• D

Multiple Choice

What is the function that matches the graph?

• $$f\left(x\right)=x^2+2x-5$$

• $$f\left(x\right)=x^2-2x+5$$

• $$f\left(x\right)=-2x^2+2x-5$$

• $$f\left(x\right)=-2x^2-2x+5$$

Multiple Choice

What is the function that matches the graph?

• $$f\left(x\right)=3x^2+6x+2$$

• $$f\left(x\right)=3x^2-6x-2$$

• $$f\left(x\right)=2x^2-4x-2$$

• $$f\left(x\right)=2x^2+4x+2$$