7.3b Graphing Quadratics In Standard Form

Finite Math

7.3b Graphs Quadratic Functions

from Standard Form

Multiple Choice

Warm-Up A

Give the vertex of the parabola.

$$y=2\left(x-1\right)^2+3$$

• (1, 3)

• (2, 3)

• (-1, 3)

• (2, 6)

Multiple Choice

Warm-Up B

Give the axis of symmetry of the parabola.

$$y=2\left(x-1\right)^2+3$$

• x = 1

• 1

• y = 1

• y = 3

EQ’s for Friday, October 16, 2023

Given the standard form of a parabola,
● How do I find the axis of symmetry?
● How do I find the vertex?
● How do I find the intercepts?
● How do I graph the parabola?

Quadratic Functions

● Using Vertex Form

● Using Standard Form

Quadratic Functions

● Using Vertex Form

● Using Standard Form

Quadratic Functions

● Using Vertex Form

● Using Standard Form

Multiple Choice

Identify the values of a, b, and c for

$$y=5x^2-6x+7$$

• 2, -3, 4
• 5, 6, 7

• 5, -6, 7
• 3, -4, 5

Multiple Choice

Find the axis of symmetry $$\left(x=-\frac{b}{2a}\right)$$

$$y=2x^2-4x+5$$

• x = 1

• x = -1

• x = 2

• x = -4

Multiple Choice

Find the vertex $$\left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)$$

$$y=2x^2-4x+5$$

• (1, 3)

• (-1, 3)

• (1, 10)

• (1, -1)

Math Response

Find the axis of symmetry $$\left(x=-\frac{b}{2a}\right)$$

$$y=9x^2-144x+572$$

Type answer here

Correct Answer: x=8

Deg^°

Rad

Math Response

Give the y value of the vertex

$$y=9x^2-144x+572$$

Type answer here

Correct Answer: -4

Deg^°

Rad

Multiple Choice

The vertex of the parabola is a

$$y=-4x^2+8x+5$$

• Maximum

• Minimum

Multiple Choice

Which direction does the parabola open?

$$y=-4x^2+8x+5$$

• Up

• Down

• Left

• Right

Math Response

Find the axis of symmetry

$$y=-4x^2+8x+5$$

Type answer here

Correct Answer: x=1

Deg^°

Rad

Math Response

Give the y value of the vertex

$$y=-4x^2+8x+5$$

Type answer here

Correct Answer: 9

Deg^°

Rad

Math Response

Give the y-intercept of the parabola.

(0, _)

$$y=3x^2-10x-9$$

Type answer here

Correct Answer: -9

Deg^°

Rad

Math Response

Give the y-intercept of the parabola.

(0, _)

$$y=7x^2+6x+5$$

Type answer here

Correct Answer: 5

Deg^°

Rad

Multiple Select

The maximum or minimum of the vertex is

Choose all that apply.

$$y=5x^2+40x+88$$

• Maximum

• Minimum

• 88

• 40

Multiple Choice

Bonus: How many real solutions are there?

$$y=5x^2+40x+88$$

• No Real Solutions

• One Real Solution

• Two Real Solutions

• Three Real Solutions