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Graphing a quadratic function in standard form

Graphing a quadratic function in standard form

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to graph quadratic equations in the form y = X^2 + C. It covers identifying the axis of symmetry, creating an X&Y table, and choosing values to avoid fractions. The tutorial demonstrates plotting points, analyzing the graph's features, and understanding the effects of coefficients on the graph's shape. Key concepts include the axis of symmetry, vertex, and intercepts.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the axis of symmetry for a quadratic equation in the form y = X^2 + C?

Y = 1

X = 1

Y = 0

X = 0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to choose certain X values when creating an X&Y table?

To avoid complex numbers

To simplify calculations by avoiding fractions

To ensure all Y values are positive

To make the graph symmetrical

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be done first when calculating Y values for a quadratic equation?

Subtract C

Square the X value

Add C

Multiply by A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex of the graph for the equation y = -1/4 X^2 - 2?

(-2, 0)

(0, -2)

(0, 2)

(2, 0)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a negative A value affect the graph of a quadratic equation?

It shifts the graph to the right

It reflects the graph downwards

It makes the graph wider

It shifts the graph upwards

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of the C value in the equation y = X^2 + C?

It reflects the graph horizontally

It changes the axis of symmetry

It shifts the graph vertically

It changes the width of the graph

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does the graph of y = -1/4 X^2 - 2 intersect the Y-axis?

(0, 2)

(0, -2)

(0, 0)

(2, 0)

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