Home / SAT Math: Practice Questions-Passport to advanced mathematics- Graphing quadratic functions

## SAT MAth Practice questions – all topics

• Advanced Math Weightage: 35% Questions: 13-15
• Equivalent expressions
• Nonlinear equations in one variable and systems of equations in two variables
• Nonlinear functions

## SAT MAth and English  – full syllabus practice tests

### Question

For the quadratic function $$f$$, the table shows some values of x and their corresponding values of  $$f(x)$$. Which of the following could be the graph of $$y=f(x)$$?

$$x$$         -1  0  1
f($$x$$)     0 -4  0

Ans: A

### Question

What is the $$y$$-intercept of the graph of $$y$$=($$x$$−4)2+3 in the $$xy$$-plane?

1. (0,−13)
2. (0,0)
3. (0,3)
4. (0,19)

Ans: D

### Question

$$y$$=($$x$$+5)2-8

The equation above can be represented by a parabola in the $$xy$$-plane. The parabola is then translated so that the vertex is at (O, O). Which of the following best describes the translation?

1. 5 units in the negative $$x$$ direction and 8 units in the negative $$y$$ direction
2. 5 units in the negative $$x$$ direction and 8 units in the positive $$y$$ direction
3. 5 units in the positive $$x$$ direction and 8 units in the negative $$y$$ direction
4. 5 units in the positive $$x$$ direction and 8 units in the positive $$y$$ direction

Ans: D

### Question

The graph of the function $$f$$ defined by $$f(x)=\frac{1}{4}(x+4)^{2}-5$$ is shown. The graph passes through the points (-10, $$a$$) and ($$a$$, $$b$$), where $$a$$ and $$b$$ are constants. What is the value of $$b$$ ?

1. 4
2. 9
3. 11
4. 16

Ans: C

### Question

The graph of $$y$$ = $$a$$$$x$$2 + $$c$$, where $$a$$ and $$c$$ are constants, is shown. What is the value of $$a$$ ?

Ans: .25, 1/4

### Question

A potter is selling vases. The function $$p$$ gives the total profit $$p(x)$$, in dollars, the potter will receive if the vases are sold at a price of $$x$$ dollars each. The graph of $$y = p(x)$$ is shown.

What equation represents the relationship between the price of one vase and the profit?

1. $$p(x)=-6(x-18)^{2} +34$$
2. $$p(x) = -6(x – 18)^{2} + 1536$$
3. $$p(x) = -6(x – 34)^{2}+ 18$$
4. $$p(x) = -6(x – 34)^{2}+ 1536$$